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38676642653752 = 23293112007447883
BaseRepresentation
bin10001100101101000110111…
…00010111110011000111000
312001221110011201121102121021
420302310123202332120320
520032134231004410002
6214131445423352224
711101203155150545
oct1062643342763070
9161843151542537
1038676642653752
1111361743530a44
124407961452674
1318772653852ac
14979d60bc1bcc
1547110544b737
hex232d1b8be638

38676642653752 has 64 divisors (see below), whose sum is σ = 77445951436800. Its totient is φ = 18067631541120.

The previous prime is 38676642653741. The next prime is 38676642653767. The reversal of 38676642653752 is 25735624667683.

38676642653752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86130403 + ... + 86578285.

It is an arithmetic number, because the mean of its divisors is an integer number (1210092991200).

Almost surely, 238676642653752 is an apocalyptic number.

It is an amenable number.

38676642653752 is an abundant number, since it is smaller than the sum of its proper divisors (38769308783048).

38676642653752 is a wasteful number, since it uses less digits than its factorization.

38676642653752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459956 (or 459952 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 70.

The spelling of 38676642653752 in words is "thirty-eight trillion, six hundred seventy-six billion, six hundred forty-two million, six hundred fifty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 29 31 58 62 116 124 232 248 899 1798 3596 7192 12007 24014 48028 96056 348203 372217 447883 696406 744434 895766 1392812 1488868 1791532 2785624 2977736 3583064 10794293 12988607 13884373 21588586 25977214 27768746 43177172 51954428 55537492 86354344 103908856 111074984 402646817 805293634 1610587268 3221174536 5377731181 10755462362 21510924724 43021849448 155954204249 166709666611 311908408498 333419333222 623816816996 666838666444 1247633633992 1333677332888 4834580331719 9669160663438 19338321326876 38676642653752