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30750677632 = 272316364081
BaseRepresentation
bin11100101000111000…
…100001101010000000
32221101001211021111101
4130220320201222000
51000434133141012
622043205424144
72136013306243
oct345070415200
987331737441
1030750677632
111204aa57274
125b6240b054
132b90a6914c
1416ba01525a
15bee9abd57
hex728e21a80

30750677632 has 64 divisors (see below), whose sum is σ = 64317821760. Its totient is φ = 14616391680.

The previous prime is 30750677627. The next prime is 30750677641. The reversal of 30750677632 is 23677605703.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447832 + ... + 511912.

It is an arithmetic number, because the mean of its divisors is an integer number (1004965965).

Almost surely, 230750677632 is an apocalyptic number.

30750677632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30750677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32158910880).

30750677632 is an abundant number, since it is smaller than the sum of its proper divisors (33567144128).

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

30750677632 is a wasteful number, since it uses less digits than its factorization.

30750677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64281 (or 64269 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 46.

The spelling of 30750677632 in words is "thirty billion, seven hundred fifty million, six hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 163 184 326 368 652 736 1304 1472 2608 2944 3749 5216 7498 10432 14996 20864 29992 59984 64081 119968 128162 239936 256324 479872 512648 1025296 1473863 2050592 2947726 4101184 5895452 8202368 10445203 11790904 20890406 23581808 41780812 47163616 83561624 94327232 167123248 188654464 240239669 334246496 480479338 668492992 960958676 1336985984 1921917352 3843834704 7687669408 15375338816 30750677632