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34881727372 = 22171931870911
BaseRepresentation
bin100000011111000111…
…001110101110001100
310100000222010100101121
4200133013032232030
51032414210233442
624005140250324
72343254535112
oct403707165614
9110028110347
1034881727372
111387a90a068
1269159a09a4
13339b88308b
14198c91dab2
15d924bb967
hex81f1ceb8c

34881727372 has 48 divisors (see below), whose sum is σ = 70230343680. Its totient is φ = 15049324800.

The previous prime is 34881727339. The next prime is 34881727379. The reversal of 34881727372 is 27372718843.

34881727372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34881727379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395404 + ... + 475507.

It is an arithmetic number, because the mean of its divisors is an integer number (1463132160).

Almost surely, 234881727372 is an apocalyptic number.

It is an amenable number.

34881727372 is an abundant number, since it is smaller than the sum of its proper divisors (35348616308).

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

34881727372 is a wasteful number, since it uses less digits than its factorization.

34881727372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870982 (or 870980 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 52.

The spelling of 34881727372 in words is "thirty-four billion, eight hundred eighty-one million, seven hundred twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 4 17 19 31 34 38 62 68 76 124 323 527 589 646 1054 1178 1292 2108 2356 10013 20026 40052 870911 1741822 3483644 14805487 16547309 26998241 29610974 33094618 53996482 59221948 66189236 107992964 281304253 458970097 512966579 562608506 917940194 1025933158 1125217012 1835880388 2051866316 8720431843 17440863686 34881727372