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205561200120996 = 22319315928354887
BaseRepresentation
bin101110101111010011110010…
…010100000001010010100100
3222221211110101110210011111010
4232233103302110001102210
5203420403314212332441
62005105302304142220
761204210111355136
oct5657236224012244
9887743343704433
10205561200120996
115a553019553aa5
121b07b17a007970
138a91451765655
1438a9302605056
1518b71ba1a8116
hexbaf4f25014a4

205561200120996 has 144 divisors (see below), whose sum is σ = 530157078671360. Its totient is φ = 61755306966720.

The previous prime is 205561200120923. The next prime is 205561200121001. The reversal of 205561200120996 is 699021002165502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20426265 + ... + 28781151.

Almost surely, 2205561200120996 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 205561200120996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265078539335680).

205561200120996 is an abundant number, since it is smaller than the sum of its proper divisors (324595878550364).

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

205561200120996 is a wasteful number, since it uses less digits than its factorization.

205561200120996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355062 (or 8355001 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 205561200120996 in words is "two hundred five trillion, five hundred sixty-one billion, two hundred million, one hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 31 38 57 59 62 76 93 114 118 124 177 186 228 236 354 372 589 708 1121 1178 1767 1829 2242 2356 3363 3481 3534 3658 4484 5487 6726 6962 7068 7316 10443 10974 13452 13924 20886 21948 34751 41772 66139 69502 104253 107911 132278 139004 198417 208506 215822 264556 323733 396834 417012 431644 647466 793668 1294932 2050309 4100618 6150927 8201236 8354887 12301854 16709774 24603708 25064661 33419548 50129322 100258644 158742853 259001497 317485706 476228559 492938333 518002994 634971412 777004491 952457118 985876666 1036005988 1478814999 1554008982 1904914236 1971753332 2957629998 3108017964 4921028443 5915259996 9365828327 9842056886 14763085329 15281088323 18731656654 19684113772 28097484981 29083361647 29526170658 30562176646 37463313308 45843264969 56194969962 58166723294 59052341316 61124353292 87250084941 91686529938 112389939924 116333446588 174500169882 183373059876 290340678137 349000339764 552583871293 580681356274 871022034411 901584211057 1105167742586 1161362712548 1657751613879 1742044068822 1803168422114 2210335485172 2704752633171 3315503227758 3484088137644 3606336844228 5409505266342 6631006455516 10819010532684 17130100010083 34260200020166 51390300030249 68520400040332 102780600060498 205561200120996