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38486526470001 = 3231241216272
BaseRepresentation
bin10001100000000110101111…
…01111010010011101110001
312001021021110012110122002100
420300003113233102131301
520021030401234020001
6213504244410011013
711051363001230421
oct1060032757223561
9161237405418070
1038486526470001
111129905393a225
124396b43a16a69
1318623579646cc
14970a8765c481
1546b1c9a85586
hex2300d7bd2771

38486526470001 has 81 divisors (see below), whose sum is σ = 58914201486699. Its totient is φ = 24209517902400.

The previous prime is 38486526469973. The next prime is 38486526470059. The reversal of 38486526470001 is 10007462568483.

It is a happy number.

The square root of 38486526470001 is 6203751.

It is a perfect power (a square), and thus also a powerful number.

38486526470001 is a `hidden beast` number, since 3 + 8 + 48 + 6 + 526 + 4 + 70 + 0 + 0 + 1 = 666.

38486526470001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1854496516401 + 36632029953600 = 1361799^2 + 6052440^2 .

It is not a de Polignac number, because 38486526470001 - 213 = 38486526461809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38486526470001.

It is not an unprimeable number, because it can be changed into a prime (38486526470101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23654901750 + ... + 23654903376.

Almost surely, 238486526470001 is an apocalyptic number.

38486526470001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38486526470001 is the 6203751-st square number.

38486526470001 is the 3101876-th centered octagonal number.

It is an amenable number.

38486526470001 is a deficient number, since it is larger than the sum of its proper divisors (20427675016698).

38486526470001 is an frugal number, since it uses more digits than its factorization.

38486526470001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 38486526470001 in words is "thirty-eight trillion, four hundred eighty-six billion, five hundred twenty-six million, four hundred seventy thousand, one".

Divisors: 1 3 9 31 41 93 123 279 369 961 1271 1627 1681 2883 3813 4881 5043 8649 11439 14643 15129 39401 50437 52111 66707 118203 151311 156333 200121 354609 453933 468999 600363 1563547 1615441 2067917 2647129 2734987 4690641 4846323 6203751 7941387 8204961 14071923 14538969 18611253 23824161 24614883 64105427 82060999 84784597 108532289 192316281 246182997 254353791 325596867 576948843 738548991 763061373 976790601 2543890969 2628322507 3364500959 4449823849 7631672907 7884967521 10093502877 13349471547 22895018721 23654902563 30280508631 40048414641 104299529729 137944539319 312898589187 413833617957 938695767561 1241500853871 4276280718889 12828842156667 38486526470001