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381299996550 = 235211857269651
BaseRepresentation
bin1011000110001110100…
…00000011011110000110
31100110012110012202202110
411203013100003132012
522221400244342200
6451100010121450
736355653331344
oct5430720033606
91313173182673
10381299996550
111377879a8aa0
1261a94720286
1329c58399c45
14146527da994
159db9d6bb50
hex58c7403786

381299996550 has 96 divisors (see below), whose sum is σ = 1032797361024. Its totient is φ = 92328160000.

The previous prime is 381299996543. The next prime is 381299996551. The reversal of 381299996550 is 55699992183.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381299996551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279225 + ... + 1548875.

It is an arithmetic number, because the mean of its divisors is an integer number (10758305844).

Almost surely, 2381299996550 is an apocalyptic number.

381299996550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381299996550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516398680512).

381299996550 is an abundant number, since it is smaller than the sum of its proper divisors (651497364474).

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

381299996550 is a wasteful number, since it uses less digits than its factorization.

381299996550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270534 (or 270529 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 66.

The spelling of 381299996550 in words is "three hundred eighty-one billion, two hundred ninety-nine million, nine hundred ninety-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 857 1650 1714 2571 4285 5142 8570 9427 12855 18854 21425 25710 28281 42850 47135 56562 64275 94270 128550 141405 235675 269651 282810 471350 539302 707025 808953 1348255 1414050 1617906 2696510 2966161 4044765 5932322 6741275 8089530 8898483 13482550 14830805 17796966 20223825 29661610 40447650 44492415 74154025 88984830 148308050 222462075 231090907 444924150 462181814 693272721 1155454535 1386545442 2310909070 2541999977 3466363605 5083999954 5777272675 6932727210 7625999931 11554545350 12709999885 15251999862 17331818025 25419999770 34663636050 38129999655 63549999425 76259999310 127099998850 190649998275 381299996550