Search a number
-
+
22082077012032 = 263244518613107
BaseRepresentation
bin1010000010101011000100…
…10110110011000001000000
32220012000200220200120111100
411001111202112303001000
510343243043203341112
6114544211030214400
74436243311433142
oct501254226630100
986160626616440
1022082077012032
117043a57881874
1225877a2ab4400
13c4243c07c5cb
14564ac766ac92
152846138582dc
hex1415625b3040

22082077012032 has 84 divisors (see below), whose sum is σ = 63308514303216. Its totient is φ = 7359037766400.

The previous prime is 22082077012019. The next prime is 22082077012043. The reversal of 22082077012032 is 23021077028022.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 1742778 + ... + 6870329.

It is an arithmetic number, because the mean of its divisors is an integer number (753672789324).

Almost surely, 222082077012032 is an apocalyptic number.

It is an amenable number.

22082077012032 is an abundant number, since it is smaller than the sum of its proper divisors (41226437291184).

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

22082077012032 is a wasteful number, since it uses less digits than its factorization.

22082077012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617576 (or 8617563 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 22082077012032 in words is "twenty-two trillion, eighty-two billion, seventy-seven million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4451 8902 13353 17804 26706 35608 40059 53412 71216 80118 106824 142432 160236 213648 284864 320472 427296 640944 854592 1281888 2563776 8613107 17226214 25839321 34452428 51678642 68904856 77517963 103357284 137809712 155035926 206714568 275619424 310071852 413429136 551238848 620143704 826858272 1240287408 1653716544 2480574816 4961149632 38336939257 76673878514 115010817771 153347757028 230021635542 306695514056 345032453313 460043271084 613391028112 690064906626 920086542168 1226782056224 1380129813252 1840173084336 2453564112448 2760259626504 3680346168672 5520519253008 7360692337344 11041038506016 22082077012032