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30477416656 = 242325961031
BaseRepresentation
bin11100011000100110…
…000111100011010000
32220200000122011220111
4130120212013203100
5444404204313111
622000124451104
72126154524101
oct343046074320
986600564814
1030477416656
1111a1a786255
125aa69a9a94
132b49270c6b
141691a023a8
15bd59d0a21
hex7189878d0

30477416656 has 60 divisors (see below), whose sum is σ = 62776294560. Its totient is φ = 14328867520.

The previous prime is 30477416591. The next prime is 30477416657. The reversal of 30477416656 is 65661477403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30477416657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468861 + ... + 529891.

It is an arithmetic number, because the mean of its divisors is an integer number (1046271576).

Almost surely, 230477416656 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 30477416656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31388147280).

30477416656 is an abundant number, since it is smaller than the sum of its proper divisors (32298877904).

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

30477416656 is a wasteful number, since it uses less digits than its factorization.

30477416656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61144 (or 61115 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 30477416656 in words is "thirty billion, four hundred seventy-seven million, four hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 529 944 1058 1357 2116 2714 4232 5428 8464 10856 21712 31211 61031 62422 122062 124844 244124 249688 488248 499376 976496 1403713 2807426 3600829 5614852 7201658 11229704 14403316 22459408 28806632 32285399 57613264 64570798 82819067 129141596 165638134 258283192 331276268 516566384 662552536 1325105072 1904838541 3809677082 7619354164 15238708328 30477416656