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22006606154112 = 2732188691012399
BaseRepresentation
bin1010000000011110011111…
…11100010100100110000000
32212220210220012221202102100
411000033033330110212000
510341024012133412422
6114445410103550400
74430632133635326
oct500171774244600
985823805852370
1022006606154112
117014a49510218
12257503ba5b400
13c382a2385928
145611a8225d16
15282697cd27ac
hex1403cff14980

22006606154112 has 96 divisors (see below), whose sum is σ = 63329720220000. Its totient is φ = 7335139378176.

The previous prime is 22006606154111. The next prime is 22006606154179. The reversal of 22006606154112 is 21145160660022.

22006606154112 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 6 + 606 + 1 + 5 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22006606154111) 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 11 ways as a sum of consecutive naturals, for example, 21230889 + ... + 22243287.

It is an arithmetic number, because the mean of its divisors is an integer number (659684585625).

Almost surely, 222006606154112 is an apocalyptic number.

It is an amenable number.

22006606154112 is an abundant number, since it is smaller than the sum of its proper divisors (41323114065888).

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

22006606154112 is a wasteful number, since it uses less digits than its factorization.

22006606154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031288 (or 1031273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22006606154112 in words is "twenty-two trillion, six billion, six hundred six million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18869 37738 56607 75476 113214 150952 169821 226428 301904 339642 452856 603808 679284 905712 1012399 1207616 1358568 1811424 2024798 2415232 2717136 3037197 3622848 4049596 5434272 6074394 7245696 8099192 9111591 10868544 12148788 16198384 18223182 21737088 24297576 32396768 36446364 48595152 64793536 72892728 97190304 129587072 145785456 194380608 291570912 388761216 583141824 1166283648 19102956731 38205913462 57308870193 76411826924 114617740386 152823653848 171926610579 229235480772 305647307696 343853221158 458470961544 611294615392 687706442316 916941923088 1222589230784 1375412884632 1833883846176 2445178461568 2750825769264 3667767692352 5501651538528 7335535384704 11003303077056 22006606154112