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30374866512 = 243426578821
BaseRepresentation
bin11100010010011110…
…111010111001010000
32220101212200002120000
4130102132322321100
5444201431212022
621542022450000
72123501051064
oct342236727120
986355602500
1030374866512
1111977902871
125a78593900
132b30c467c3
141682149aa4
15bcb9c56ac
hex7127bae50

30374866512 has 100 divisors (see below), whose sum is σ = 87956733876. Its totient is φ = 10119997440.

The previous prime is 30374866471. The next prime is 30374866513. The reversal of 30374866512 is 21566847303.

30374866512 is a `hidden beast` number, since 3 + 0 + 3 + 74 + 8 + 66 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19520560656 + 10854305856 = 139716^2 + 104184^2 .

It is a super-2 number, since 2×303748665122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30374866513) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3439062 + ... + 3447882.

Almost surely, 230374866512 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 30374866512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43978366938).

30374866512 is an abundant number, since it is smaller than the sum of its proper divisors (57581867364).

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

30374866512 is a wasteful number, since it uses less digits than its factorization.

30374866512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 30374866512 in words is "thirty billion, three hundred seventy-four million, eight hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2657 5314 7971 8821 10628 15942 17642 21256 23913 26463 31884 35284 42512 47826 52926 63768 70568 71739 79389 95652 105852 127536 141136 143478 158778 191304 211704 215217 238167 286956 317556 382608 423408 430434 476334 573912 635112 714501 860868 952668 1147824 1270224 1429002 1721736 1905336 2858004 3443472 3810672 5716008 11432016 23437397 46874794 70312191 93749588 140624382 187499176 210936573 281248764 374998352 421873146 562497528 632809719 843746292 1124995056 1265619438 1687492584 1898429157 2531238876 3374985168 3796858314 5062477752 7593716628 10124955504 15187433256 30374866512