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381071515151236 = 2272137731285315053
BaseRepresentation
bin101011010100101010010000…
…0010010110110101110000100
31211222021002012002121010121011
41112221110200102312232010
5344421433430334314421
63430245500505132004
7143160336250246600
oct12651244022665604
91758232162533534
10381071515151236
1110046a581875128
12368a626748a004
1313482b748458b0
146a15d61774500
152e0c82815d4e1
hex15a95204b6b84

381071515151236 has 144 divisors (see below), whose sum is σ = 836627429789424. Its totient is φ = 150536827413504.

The previous prime is 381071515151231. The next prime is 381071515151237. The reversal of 381071515151236 is 632151515170183.

It can be written as a sum of positive squares in 8 ways, for example, as 35033613966400 + 346037901184836 = 5918920^2 + 18602094^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 381071515151236.

It is not an unprimeable number, because it can be changed into a prime (381071515151231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25315312686 + ... + 25315327738.

It is an arithmetic number, because the mean of its divisors is an integer number (5809912706871).

Almost surely, 2381071515151236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381071515151236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418313714894712).

381071515151236 is an abundant number, since it is smaller than the sum of its proper divisors (455555914638188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381071515151236 is a wasteful number, since it uses less digits than its factorization.

381071515151236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28710 (or 28701 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 381071515151236 in words is "three hundred eighty-one trillion, seventy-one billion, five hundred fifteen million, one hundred fifty-one thousand, two hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 773 1274 1546 2548 3092 5411 10049 10822 12853 15053 20098 21644 25706 30106 37877 40196 51412 60212 70343 75754 89971 105371 140686 151508 167089 179942 195689 210742 281372 334178 359884 391378 421484 492401 629797 668356 737597 782756 984802 1169623 1259594 1369823 1475194 1969604 2339246 2519188 2739646 2950388 4678492 5479292 8187361 9588761 9935369 11635969 16374722 19177522 19870738 23271938 32749444 38355044 39741476 46543876 69547583 81451783 129159797 139095166 151267597 162903566 193476209 258319594 278190332 302535194 325807132 386952418 486833081 516639188 570162481 605070388 773904836 904118579 973666162 1058873179 1140324962 1354333463 1808237158 1947332324 2117746358 2280649924 2515190717 2708666926 3616474316 4235492716 5030381434 5417333852 6328830053 7412112253 9480334241 10060762868 12657660106 14824224506 17606335019 18960668482 25315320212 29648449012 35212670038 37921336964 70425340076 123244345133 149557109557 246488690266 299114219114 492977380532 598228438228 1046899766899 1944242424241 2093799533798 3888484848482 4187599067596 7328298368293 7776969696964 13609696969687 14656596736586 27219393939374 29313193473172 54438787878748 95267878787809 190535757575618 381071515151236