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30693856704 = 2637157145463
BaseRepresentation
bin11100100101011111…
…110001010111000000
32221020002220110211120
4130211133301113000
51000330111403304
622033415512240
72134423322460
oct344537612700
987202813746
1030693856704
1112020977925
125b47388680
132b820631b4
1416b2663ba0
15be99d60d9
hex7257f15c0

30693856704 has 112 divisors (see below), whose sum is σ = 93404179968. Its totient is φ = 8713755648.

The previous prime is 30693856639. The next prime is 30693856733. The reversal of 30693856704 is 40765839603.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×306938567042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138277 + ... + 283739.

Almost surely, 230693856704 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 30693856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702089984).

30693856704 is an abundant number, since it is smaller than the sum of its proper divisors (62710323264).

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

30693856704 is a wasteful number, since it uses less digits than its factorization.

30693856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145642 (or 145632 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 30693856704 in words is "thirty billion, six hundred ninety-three million, eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 26376 30144 35168 52752 70336 105504 145463 211008 290926 436389 581852 872778 1018241 1163704 1745556 2036482 2327408 3054723 3491112 4072964 4654816 6109446 6982224 8145928 9309632 12218892 13964448 16291856 22837691 24437784 27928896 32583712 45675382 48875568 65167424 68513073 91350764 97751136 137026146 159863837 182701528 195502272 274052292 319727674 365403056 479591511 548104584 639455348 730806112 959183022 1096209168 1278910696 1461612224 1918366044 2192418336 2557821392 3836732088 4384836672 5115642784 7673464176 10231285568 15346928352 30693856704