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20414204661132 = 2233974614227037
BaseRepresentation
bin1001010010001000011010…
…11010101100110110001100
32200021120122000121102112000
410221010031122230312030
510133431242343124012
6111230053421312300
74204610010401052
oct451041532546614
980246560542460
1020414204661132
1165606853745a7
1223584aba05690
13b5108875a9b9
145080a4b701d2
1525604883cddc
hex12910d6acd8c

20414204661132 has 96 divisors (see below), whose sum is σ = 53587344296640. Its totient is φ = 6719972751360.

The previous prime is 20414204661113. The next prime is 20414204661157. The reversal of 20414204661132 is 23116640241402.

20414204661132 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 2 + 0 + 4 + 6 + 611 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715918 + ... + 6942954.

It is an arithmetic number, because the mean of its divisors is an integer number (558201503090).

Almost surely, 220414204661132 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 20414204661132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26793672148320).

20414204661132 is an abundant number, since it is smaller than the sum of its proper divisors (33173139635508).

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

20414204661132 is a wasteful number, since it uses less digits than its factorization.

20414204661132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227608 (or 4227600 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20414204661132 in words is "twenty trillion, four hundred fourteen billion, two hundred four million, six hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 461 582 873 922 1164 1383 1746 1844 2619 2766 3492 4149 5238 5532 8298 10476 12447 16596 24894 44717 49788 89434 134151 178868 268302 402453 536604 804906 1207359 1609812 2414718 4227037 4829436 8454074 12681111 16908148 25362222 38043333 50724444 76086666 114129999 152173332 228259998 410022589 456519996 820045178 1230067767 1640090356 1948664057 2460135534 3690203301 3897328114 4920271068 5845992171 7380406602 7794656228 11070609903 11691984342 14760813204 17537976513 22141219806 23383968684 35075953026 44282439612 52613929539 70151906052 105227859078 189020413529 210455718156 378040827058 567061240587 756081654116 1134122481174 1701183721761 2268244962348 3402367443522 5103551165283 6804734887044 10207102330566 20414204661132