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38518769133 = 33131713946441
BaseRepresentation
bin100011110111111001…
…011100010111101101
310200102102212012202000
4203313321130113231
51112341301103013
625410102522513
72532350064315
oct436771342755
9120372765660
1038518769133
11153769283a9
12756ba36439
13382b2323b0
141c15992445
151006948973
hex8f7e5c5ed

38518769133 has 64 divisors (see below), whose sum is σ = 65538950400. Its totient is φ = 22148536320.

The previous prime is 38518769131. The next prime is 38518769279. The reversal of 38518769133 is 33196781583.

38518769133 is a `hidden beast` number, since 3 + 8 + 518 + 7 + 6 + 91 + 33 = 666.

It is not a de Polignac number, because 38518769133 - 21 = 38518769131 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38518769133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38518769131) 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 63 ways as a sum of consecutive naturals, for example, 806193 + ... + 852633.

It is an arithmetic number, because the mean of its divisors is an integer number (1024046100).

Almost surely, 238518769133 is an apocalyptic number.

It is an amenable number.

38518769133 is a deficient number, since it is larger than the sum of its proper divisors (27020181267).

38518769133 is a wasteful number, since it uses less digits than its factorization.

38518769133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46619 (or 46613 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 38518769133 in words is "thirty-eight billion, five hundred eighteen million, seven hundred sixty-nine thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 27 39 51 117 139 153 221 351 417 459 663 1251 1807 1989 2363 3753 5421 5967 7089 16263 21267 30719 46441 48789 63801 92157 139323 276471 417969 603733 789497 829413 1253907 1811199 2368491 5433597 6455299 7105473 10263461 16300791 19365897 21316419 30790383 58097691 83918887 92371149 109740083 174293073 251756661 277113447 329220249 755269983 987660747 1426621079 2265809949 2962982241 4279863237 12839589711 38518769133