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38038659456 = 273714151287
BaseRepresentation
bin100011011011010001…
…111110000110000000
310122011222110010002010
4203123101332012000
51110400344100311
625250312252520
72514430161540
oct433321760600
9118158403063
1038038659456
111514a916946
1274570a1140
133782922825
141babcd7320
15ec970dda6
hex8db47e180

38038659456 has 64 divisors (see below), whose sum is σ = 115474510080. Its totient is φ = 10868187648.

The previous prime is 38038659397. The next prime is 38038659481. The reversal of 38038659456 is 65495683083.

It is a happy number.

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

It is a super-2 number, since 2×380386594562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38038659396 and 38038659405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7072956 + ... + 7078331.

It is an arithmetic number, because the mean of its divisors is an integer number (1804289220).

Almost surely, 238038659456 is an apocalyptic number.

It is an amenable number.

38038659456 is an abundant number, since it is smaller than the sum of its proper divisors (77435850624).

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

38038659456 is a wasteful number, since it uses less digits than its factorization.

38038659456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151311 (or 14151299 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 38038659456 in words is "thirty-eight billion, thirty-eight million, six hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 14151287 28302574 42453861 56605148 84907722 99059009 113210296 169815444 198118018 226420592 297177027 339630888 396236036 452841184 594354054 679261776 792472072 905682368 1188708108 1358523552 1584944144 1811364736 2377416216 2717047104 3169888288 4754832432 5434094208 6339776576 9509664864 12679553152 19019329728 38038659456