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103027406537376 = 25322912335656913
BaseRepresentation
bin10111011011001111101111…
…111110000000001010100000
3111111210022202002211011012200
4113123033233332000022200
5102001000112033144001
61003042045343253200
730462325115132556
oct2733175776001240
9444708662734180
10103027406537376
112a911750087042
12b67b499baa200
13456459a946769
141b627a5933bd6
15bd9ea50ee086
hex5db3eff802a0

103027406537376 has 72 divisors (see below), whose sum is σ = 303087090376980. Its totient is φ = 33158245779456.

The previous prime is 103027406537359. The next prime is 103027406537387. The reversal of 103027406537376 is 673735604720301.

103027406537376 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 74 + 0 + 6 + 537 + 37 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101830299210000 + 1197107327376 = 10091100^2 + 1094124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1030274065373762 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6167820105 + ... + 6167836808.

Almost surely, 2103027406537376 is an apocalyptic number.

103027406537376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103027406537376 is an abundant number, since it is smaller than the sum of its proper divisors (200059683839604).

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

103027406537376 is a wasteful number, since it uses less digits than its factorization.

103027406537376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335656958 (or 12335656947 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 103027406537376 in words is "one hundred three trillion, twenty-seven billion, four hundred six million, five hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 12335656913 24671313826 37006970739 49342627652 74013941478 98685255304 111020912217 148027882956 197370510608 222041824434 296055765912 357734050477 394741021216 444083648868 592111531824 715468100954 888167297736 1073202151431 1184223063648 1430936201908 1776334595472 2146404302862 2861872403816 3219606454293 3552669190944 4292808605724 5723744807632 6439212908586 8585617211448 11447489615264 12878425817172 17171234422896 25756851634344 34342468845792 51513703268688 103027406537376