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38778305255856 = 24321997337339979
BaseRepresentation
bin10001101000100110001110…
…00111000001100110110000
312002022011120202201201011200
420310103013013001212300
520040320432121141411
6214250301342011200
711111432361051525
oct1064230707014660
9162264522651150
1038778305255856
11113a0872406671
1244235b3b76b00
131883a17478c5a
14980c4699114c
15473aa55ede56
hex2344c71c19b0

38778305255856 has 120 divisors (see below), whose sum is σ = 108614647748880. Its totient is φ = 12915475619328.

The previous prime is 38778305255849. The next prime is 38778305255867. The reversal of 38778305255856 is 65855250387783.

38778305255856 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 8 + 30 + 5 + 2 + 5 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969946875 + ... + 969986853.

It is an arithmetic number, because the mean of its divisors is an integer number (905122064574).

Almost surely, 238778305255856 is an apocalyptic number.

38778305255856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38778305255856 is an abundant number, since it is smaller than the sum of its proper divisors (69836342493024).

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

38778305255856 is a wasteful number, since it uses less digits than its factorization.

38778305255856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45363 (or 45354 counting only the distinct ones).

The product of its (nonzero) digits is 1693440000, while the sum is 72.

The spelling of 38778305255856 in words is "thirty-eight trillion, seven hundred seventy-eight billion, three hundred five million, two hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1997 3373 3994 5991 6746 7988 10119 11982 13492 15976 17973 20238 23964 26984 30357 31952 35946 39979 40476 47928 53968 60714 71892 79958 80952 95856 119937 121428 143784 159916 161904 239874 242856 287568 319832 359811 479748 485712 639664 719622 959496 1439244 1918992 2878488 5756976 6735881 13471762 20207643 26943524 40415286 53887048 60622929 79838063 80830572 107774096 121245858 134849167 159676126 161661144 239514189 242491716 269698334 319352252 323322288 404547501 479028378 484983432 539396668 638704504 718542567 809095002 958056756 969966864 1078793336 1213642503 1277409008 1437085134 1618190004 1916113512 2157586672 2427285006 2874170268 3236380008 3832227024 4854570012 5748340536 6472760016 9709140024 11496681072 19418280048 269293786499 538587572998 807881359497 1077175145996 1615762718994 2154350291992 2423644078491 3231525437988 4308700583984 4847288156982 6463050875976 9694576313964 12926101751952 19389152627928 38778305255856