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214922775096 = 23324324193853
BaseRepresentation
bin1100100000101001100…
…1010100101000111000
3202112202100010012112100
43020022121110220320
512010130212300341
6242422324543400
721345662305641
oct3101231245070
9675670105470
10214922775096
118316a337a87
12357a1251b60
1317361b6a003
14a58bd626c8
1558cd5d23b6
hex320a654a38

214922775096 has 144 divisors (see below), whose sum is σ = 597511441800. Its totient is φ = 69789734784.

The previous prime is 214922775091. The next prime is 214922775097. The reversal of 214922775096 is 690577229412.

214922775096 is a `hidden beast` number, since 2 + 1 + 49 + 22 + 77 + 509 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214922775091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55778706 + ... + 55782558.

Almost surely, 2214922775096 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 214922775096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298755720900).

214922775096 is an abundant number, since it is smaller than the sum of its proper divisors (382588666704).

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

214922775096 is a wasteful number, since it uses less digits than its factorization.

214922775096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 214922775096 in words is "two hundred fourteen billion, nine hundred twenty-two million, seven hundred seventy-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 419 516 774 838 1032 1257 1548 1676 1849 2514 3096 3352 3698 3771 3853 5028 5547 7396 7542 7706 10056 11094 11559 14792 15084 15412 16641 18017 22188 23118 30168 30824 33282 34677 36034 44376 46236 54051 66564 69354 72068 92472 108102 133128 138708 144136 162153 165679 216204 277416 324306 331358 432408 497037 648612 662716 774731 994074 1297224 1325432 1491111 1549462 1614407 1988148 2324193 2982222 3098924 3228814 3976296 4648386 4843221 5964444 6197848 6457628 6972579 7124197 9296772 9686442 11928888 12915256 13945158 14248394 14529663 18593544 19372884 21372591 27890316 28496788 29059326 38745768 42745182 55780632 56993576 58118652 64117773 69419501 85490364 116237304 128235546 138839002 170980728 208258503 256471092 277678004 416517006 512942184 555356008 624775509 833034012 1249551018 1666068024 2499102036 2985038543 4998204072 5970077086 8955115629 11940154172 17910231258 23880308344 26865346887 35820462516 53730693774 71640925032 107461387548 214922775096