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30446583072 = 2535236011009
BaseRepresentation
bin11100010110110000…
…011111110100100000
32220120212121200011220
4130112300133310200
5444323311124242
621553103535040
72125331454213
oct342660376440
986525550156
1030446583072
1111a04336554
125a985ba480
132b42a66739
14168b89777a
15bd2e3ebec
hex716c1fd20

30446583072 has 96 divisors (see below), whose sum is σ = 80287824960. Its totient is φ = 10102579200.

The previous prime is 30446583061. The next prime is 30446583131. The reversal of 30446583072 is 27038564403.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30174504 + ... + 30175512.

It is an arithmetic number, because the mean of its divisors is an integer number (836331510).

Almost surely, 230446583072 is an apocalyptic number.

30446583072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30446583072 is an abundant number, since it is smaller than the sum of its proper divisors (49841241888).

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

30446583072 is a wasteful number, since it uses less digits than its factorization.

30446583072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 30446583072 in words is "thirty billion, four hundred forty-six million, five hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 523 601 1009 1046 1202 1569 1803 2018 2092 2404 3027 3138 3606 4036 4184 4808 6054 6276 7212 8072 8368 9616 12108 12552 14424 16144 16736 19232 24216 25104 28848 32288 48432 50208 57696 96864 314323 527707 606409 628646 942969 1055414 1212818 1257292 1583121 1819227 1885938 2110828 2425636 2514584 3166242 3638454 3771876 4221656 4851272 5029168 6332484 7276908 7543752 8443312 9702544 10058336 12664968 14553816 15087504 16886624 19405088 25329936 29107632 30175008 50659872 58215264 317151907 634303814 951455721 1268607628 1902911442 2537215256 3805822884 5074430512 7611645768 10148861024 15223291536 30446583072