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38903679104 = 271729616501
BaseRepresentation
bin100100001110110101…
…110000100010000000
310201102021010122221212
4210032311300202000
51114133320212404
625512212505252
72545032546653
oct441665604200
9121367118855
1038903679104
1115554126a14
12765891b228
13388cbbc384
141c50b4989a
15102a62b06e
hex90ed70880

38903679104 has 64 divisors (see below), whose sum is σ = 84892325400. Its totient is φ = 17676288000.

The previous prime is 38903679079. The next prime is 38903679161. The reversal of 38903679104 is 40197630983.

It can be written as a sum of positive squares in 4 ways, for example, as 38903617600 + 61504 = 197240^2 + 248^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245147 + ... + 371354.

Almost surely, 238903679104 is an apocalyptic number.

38903679104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38903679104 is an abundant number, since it is smaller than the sum of its proper divisors (45988646296).

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

38903679104 is a wasteful number, since it uses less digits than its factorization.

38903679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616561 (or 616549 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 38903679104 in words is "thirty-eight billion, nine hundred three million, six hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1856 1972 2176 3712 3944 7888 15776 31552 63104 616501 1233002 2466004 4932008 9864016 10480517 17878529 19728032 20961034 35757058 39456064 41922068 71514116 78912128 83844136 143028232 167688272 286056464 303934993 335376544 572112928 607869986 670753088 1144225856 1215739972 1341506176 2288451712 2431479944 4862959888 9725919776 19451839552 38903679104