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20716734846096 = 2432192199632
BaseRepresentation
bin1001011010111011111011…
…00111110001010010010000
32201100111111212112011112100
410231131331213301102100
510203410333110033341
6112021045301200400
74235510000501112
oct455357547612220
981314455464470
1020716734846096
116667a10811253
1223a7060700100
13b7376c826c73
145189a3d3d3b2
1525dd531db3b6
hex12d77d9f1490

20716734846096 has 135 divisors (see below), whose sum is σ = 61193231892819. Its totient is φ = 6541799080896.

The previous prime is 20716734846053. The next prime is 20716734846127. The reversal of 20716734846096 is 69064843761702.

It is a happy number.

The square root of 20716734846096 is 4551564.

It is a perfect power (a square), and thus also a powerful number.

20716734846096 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 6 + 7 + 3 + 484 + 60 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1037746611 + ... + 1037766573.

Almost surely, 220716734846096 is an apocalyptic number.

20716734846096 is the 4551564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20716734846096

20716734846096 is an abundant number, since it is smaller than the sum of its proper divisors (40476497046723).

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

20716734846096 is an frugal number, since it uses more digits than its factorization.

20716734846096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39978 (or 19987 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 20716734846096 in words is "twenty trillion, seven hundred sixteen billion, seven hundred thirty-four million, eight hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 17328 19963 25992 39926 51984 59889 79852 119778 159704 179667 239556 319408 359334 379297 479112 718668 758594 958224 1137891 1437336 1517188 2275782 2874672 3034376 3413673 4551564 6068752 6827346 7206643 9103128 13654692 14413286 18206256 21619929 27309384 28826572 43239858 54618768 57653144 64859787 86479716 115306288 129719574 172959432 259439148 345918864 398521369 518878296 797042738 1037756592 1195564107 1594085476 2391128214 3188170952 3586692321 4782256428 6376341904 7173384642 7571906011 9564512856 14346769284 15143812022 19129025712 22715718033 28693538568 30287624044 45431436066 57387077136 60575248088 68147154099 90862872132 121150496176 136294308198 143866214209 181725744264 272588616396 287732428418 363451488528 431598642627 545177232792 575464856836 863197285254 1090354465584 1150929713672 1294795927881 1726394570508 2301859427344 2589591855762 3452789141016 5179183711524 6905578282032 10358367423048 20716734846096