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20088857441952 = 2532137175572023
BaseRepresentation
bin1001001000101010011010…
…01101100011011010100000
32122010110212000102020210100
410210111031031203122200
510113113440001120302
6110420405501302400
74142241420561255
oct444251515433240
978113760366710
1020088857441952
116445700346382
122305431864a00
13b294a94a4360
144d643d4dd42c
1524c855c71d1c
hex12454d3636a0

20088857441952 has 144 divisors (see below), whose sum is σ = 62388635557248. Its totient is φ = 6094127854080.

The previous prime is 20088857441903. The next prime is 20088857441953. The reversal of 20088857441952 is 25914475888002.

20088857441952 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 8 + 8 + 574 + 4 + 1 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 20088857441952.

It is not an unprimeable number, because it can be changed into a prime (20088857441953) by changing a digit.

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, 37520188 + ... + 38051835.

It is an arithmetic number, because the mean of its divisors is an integer number (433254413592).

Almost surely, 220088857441952 is an apocalyptic number.

It is an amenable number.

20088857441952 is an abundant number, since it is smaller than the sum of its proper divisors (42299778115296).

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

20088857441952 is a wasteful number, since it uses less digits than its factorization.

20088857441952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75572123 (or 75572112 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 20088857441952 in words is "twenty trillion, eighty-eight billion, eight hundred fifty-seven million, four hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 234 284 288 312 416 426 468 568 624 639 852 923 936 1136 1248 1278 1704 1846 1872 2272 2556 2769 3408 3692 3744 5112 5538 6816 7384 8307 10224 11076 14768 16614 20448 22152 29536 33228 44304 66456 88608 132912 265824 75572023 151144046 226716069 302288092 453432138 604576184 680148207 906864276 982436299 1209152368 1360296414 1813728552 1964872598 2418304736 2720592828 2947308897 3627457104 3929745196 5365613633 5441185656 5894617794 7254914208 7859490392 8841926691 10731227266 10882371312 11789235588 15718980784 16096840899 17683853382 21462454532 21764742624 23578471176 31437961568 32193681798 35367706764 42924909064 47156942352 48290522697 64387363596 69752977229 70735413528 85849818128 94313884704 96581045394 128774727192 139505954458 141470827056 171699636256 193162090788 209258931687 257549454384 279011908916 282941654112 386324181576 418517863374 515098908768 558023817832 627776795061 772648363152 837035726748 1116047635664 1255553590122 1545296726304 1674071453496 2232095271328 2511107180244 3348142906992 5022214360488 6696285813984 10044428720976 20088857441952