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22092978872916 = 223273121371323389
BaseRepresentation
bin1010000010111111011000…
…01010000110001001010100
32220020001211200110111011200
411001133230022012021110
510343432410042413131
6114553212511032500
74440110416634130
oct501375412061124
986201750414150
1022092978872916
11704864167a256
122589925b0b730
13c43488865473
1456543d4b23c0
15284a509ae2e6
hex1417ec286254

22092978872916 has 144 divisors (see below), whose sum is σ = 65913884574720. Its totient is φ = 6105794618880.

The previous prime is 22092978872911. The next prime is 22092978872917. The reversal of 22092978872916 is 61927887929022.

22092978872916 is a `hidden beast` number, since 220 + 9 + 297 + 8 + 87 + 29 + 16 = 666.

It is a super-2 number, since 2×220929788729162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22092978872911) 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 47 ways as a sum of consecutive naturals, for example, 16032550 + ... + 17355938.

Almost surely, 222092978872916 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 22092978872916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32956942287360).

22092978872916 is an abundant number, since it is smaller than the sum of its proper divisors (43820905701804).

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

22092978872916 is a wasteful number, since it uses less digits than its factorization.

22092978872916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325574 (or 1325569 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 22092978872916 in words is "twenty-two trillion, ninety-two billion, nine hundred seventy-eight million, eight hundred seventy-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2137 2604 3906 4274 6411 7812 8548 12822 14959 19233 25644 29918 38466 44877 59836 66247 76932 89754 132494 134631 179508 198741 264988 269262 397482 463729 538524 596223 794964 927458 1192446 1323389 1391187 1854916 2384892 2646778 2782374 3970167 4173561 5293556 5564748 7940334 8347122 9263723 11910501 15880668 16694244 18527446 23821002 27791169 37054892 41025059 47642004 55582338 82050118 83373507 111164676 123075177 164100236 166747014 246150354 287175413 333494028 369225531 492300708 574350826 738451062 861526239 1148701652 1476902124 1723052478 2584578717 2828082293 3446104956 5169157434 5656164586 8484246879 10338314868 11312329172 16968493758 19796576051 25452740637 33936987516 39593152102 50905481274 59389728153 79186304204 87670551083 101810962548 118779456306 175341102166 178169184459 237558912612 263011653249 350682204332 356338368918 526023306498 613693857581 712676737836 789034959747 1052046612996 1227387715162 1578069919494 1841081572743 2454775430324 3156139838988 3682163145486 5523244718229 7364326290972 11046489436458 22092978872916