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20795624054568 = 23321123229739241
BaseRepresentation
bin1001011101001110110111…
…10010001101111100101000
32201122001010210111012000100
410232213123302031330220
510211203414224221233
6112121213334505400
74244301643632336
oct456473362157450
981561123435010
1020795624054568
116698413702200
1223ba3b8505260
13b7b0327a018c
1451c72936ab56
15260e1dde1813
hex12e9dbc8df28

20795624054568 has 144 divisors (see below), whose sum is σ = 61926339302100. Its totient is φ = 6299744140800.

The previous prime is 20795624054561. The next prime is 20795624054581. The reversal of 20795624054568 is 86545042659702.

20795624054568 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 5 + 6 + 24 + 0 + 545 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20599089658884 + 196534395684 = 4538622^2 + 443322^2 .

It is not an unprimeable number, because it can be changed into a prime (20795624054561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27761428 + ... + 28500668.

Almost surely, 220795624054568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20795624054568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30963169651050).

20795624054568 is an abundant number, since it is smaller than the sum of its proper divisors (41130715247532).

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

20795624054568 is a wasteful number, since it uses less digits than its factorization.

20795624054568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742504 (or 742486 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 20795624054568 in words is "twenty trillion, seven hundred ninety-five billion, six hundred twenty-four million, fifty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3229 4356 6458 8712 9687 12916 19374 25832 29061 35519 38748 58122 71038 77496 106557 116244 142076 213114 232488 284152 319671 390709 426228 639342 739241 781418 852456 1172127 1278684 1478482 1562836 2217723 2344254 2557368 2956964 3125672 3516381 4435446 4688508 5913928 6653169 7032762 8131651 8870892 9377016 13306338 14065524 16263302 17741784 24394953 26612676 28131048 32526604 48789906 53225352 65053208 73184859 89448161 97579812 146369718 178896322 195159624 268344483 292739436 357792644 536688966 585478872 715585288 805033449 1073377932 1610066898 2146755864 2387009189 3220133796 4774018378 6440267592 7161027567 9548036756 14322055134 19096073512 21483082701 26257101079 28644110268 42966165402 52514202158 57288220536 78771303237 85932330804 105028404316 157542606474 171864661608 210056808632 236313909711 288828111869 315085212948 472627819422 577656223738 630170425896 866484335607 945255638844 1155312447476 1732968671214 1890511277688 2310624894952 2599453006821 3465937342428 5198906013642 6931874684856 10397812027284 20795624054568