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138474474831 = 337111710338039
BaseRepresentation
bin1000000011110110111…
…0001100110101001111
3111020102112011011122000
42000331232030311033
54232043431143311
6143340404323343
713001345421030
oct2007556146517
9436375134560
10138474474831
11537aa25a540
1222a069a3553
131009a803794
1469b8ba2a87
153906d34056
hex203db8cd4f

138474474831 has 128 divisors (see below), whose sum is σ = 273449779200. Its totient is φ = 67044257280.

The previous prime is 138474474793. The next prime is 138474474857.

It is a happy number.

138474474831 is a `hidden beast` number, since 13 + 84 + 7 + 4 + 474 + 83 + 1 = 666.

138474474831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138474474831 - 29 = 138474474319 is a prime.

It is a super-2 number, since 2×1384744748312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138474474871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3621310 + ... + 3659348.

It is an arithmetic number, because the mean of its divisors is an integer number (2136326400).

Almost surely, 2138474474831 is an apocalyptic number.

138474474831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138474474831 is a deficient number, since it is larger than the sum of its proper divisors (134975304369).

138474474831 is a wasteful number, since it uses less digits than its factorization.

138474474831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38186 (or 38180 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 138474474831 in words is "one hundred thirty-eight billion, four hundred seventy-four million, four hundred seventy-four thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 103 119 153 187 189 231 297 309 357 459 561 693 721 927 1071 1133 1309 1683 1751 2079 2163 2781 3213 3399 3927 5049 5253 6489 7931 10197 11781 12257 15759 19261 19467 23793 30591 35343 36771 38039 47277 57783 71379 110313 114117 134827 173349 214137 266273 330939 342351 404481 418429 520047 646663 798819 1027053 1213443 1255287 1939989 2396457 2929003 3640329 3765861 3918017 4526641 5819967 7113293 7189371 8787009 11297583 11754051 13579923 17459901 21339879 26361027 27426119 35262153 40739769 43098187 49793051 64019637 66606289 79083081 82278357 105786459 122219307 129294561 149379153 192058911 199818867 246835071 301687309 387883683 448137459 466244023 599456601 732669179 740505213 905061927 1163651049 1344412377 1398732069 1798369803 2198007537 2715185781 4196196207 5128684253 6594022611 8145557343 12588588621 15386052759 19782067833 46158158277 138474474831