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38675772685968 = 24311219350476409
BaseRepresentation
bin10001100101100111001111…
…01100010011111010010000
312001221100221002121111011020
420302303213230103322100
520032130440301422333
6214131223225115440
711101142462433405
oct1062634754237220
9161840832544136
1038675772685968
1111361337451300
12440775a028b80
131877157075462
14979cbb4422ac
154710a3da33b3
hex232ce7b13e90

38675772685968 has 120 divisors (see below), whose sum is σ = 115601139074400. Its totient is φ = 11103092605440.

The previous prime is 38675772685937. The next prime is 38675772685969. The reversal of 38675772685968 is 86958627757683.

38675772685968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38675772685969) 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 23 ways as a sum of consecutive naturals, for example, 175127853 + ... + 175348556.

It is an arithmetic number, because the mean of its divisors is an integer number (963342825620).

Almost surely, 238675772685968 is an apocalyptic number.

38675772685968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38675772685968 is an abundant number, since it is smaller than the sum of its proper divisors (76925366388432).

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

38675772685968 is a wasteful number, since it uses less digits than its factorization.

38675772685968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350476461 (or 350476444 counting only the distinct ones).

The product of its digits is 51209625600, while the sum is 87.

The spelling of 38675772685968 in words is "thirty-eight trillion, six hundred seventy-five billion, seven hundred seventy-two million, six hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 36784 55176 110352 350476409 700952818 1051429227 1401905636 2102858454 2803811272 3855240499 4205716908 5607622544 6659051771 7710480998 8411433816 11565721497 13318103542 15420961996 16822867632 19977155313 23131442994 26636207084 30841923992 39954310626 42407645489 46262885988 53272414168 61683847984 73249569481 79908621252 84815290978 92525771976 106544828336 127222936467 146499138962 159817242504 169630581956 185051543952 219748708443 254445872934 292998277924 319634485008 339261163912 439497416886 508891745868 585996555848 678522327824 805745264291 878994833772 1017783491736 1171993111696 1611490528582 1757989667544 2035566983472 2417235792873 3222981057164 3515979335088 4834471585746 6445962114328 9668943171492 12891924228656 19337886342984 38675772685968