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381134464460 = 2251729293131927
BaseRepresentation
bin1011000101111010110…
…00100110010111001100
31100102202220201212102022
411202331120212113030
522221030410330320
6451031334145312
736351603331451
oct5427530462714
91312686655368
10381134464460
11137702518312
1261a491b2238
1329c2ccc0469
141463882b828
159daa570325
hex58bd6265cc

381134464460 has 96 divisors (see below), whose sum is σ = 879685349760. Its totient is φ = 138064252928.

The previous prime is 381134464439. The next prime is 381134464493. The reversal of 381134464460 is 64464431183.

It is a super-2 number, since 2×3811344644602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823017 + ... + 2954943.

It is an arithmetic number, because the mean of its divisors is an integer number (9163389060).

Almost surely, 2381134464460 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 381134464460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439842674880).

381134464460 is an abundant number, since it is smaller than the sum of its proper divisors (498550885300).

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

381134464460 is a wasteful number, since it uses less digits than its factorization.

381134464460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132275 (or 132273 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 381134464460 in words is "three hundred eighty-one billion, one hundred thirty-four million, four hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 293 340 493 580 586 986 1172 1465 1972 2465 2930 4930 4981 5860 8497 9860 9962 16994 19924 24905 33988 42485 49810 84970 99620 131927 144449 169940 263854 288898 527708 577796 659635 722245 1319270 1444490 2242759 2638540 2888980 3825883 4485518 7651766 8971036 11213795 15303532 19129415 22427590 38258830 38654611 44855180 65040011 76517660 77309222 130080022 154618444 193273055 260160044 325200055 386546110 650400110 657128387 773092220 1120983719 1300800220 1314256774 2241967438 2628513548 3285641935 4483934876 5604918595 6571283870 11209837190 13142567740 19056723223 22419674380 38113446446 76226892892 95283616115 190567232230 381134464460