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92212792368 = 24317973373457
BaseRepresentation
bin101010111100001001…
…1111000110000110000
322211000110122012121020
41111320103320300300
53002322433323433
6110210104055440
76443055542154
oct1257023706060
9284013565536
1092212792368
113611a798814
1215a55a64580
1389073b2488
14466ab49064
1525ea773cb3
hex15784f8c30

92212792368 has 160 divisors (see below), whose sum is σ = 255659511744. Its totient is φ = 28538044416.

The previous prime is 92212792367. The next prime is 92212792433. The reversal of 92212792368 is 86329721229.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 92212792368.

It is not an unprimeable number, because it can be changed into a prime (92212792367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26672496 + ... + 26675952.

Almost surely, 292212792368 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 92212792368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127829755872).

92212792368 is an abundant number, since it is smaller than the sum of its proper divisors (163446719376).

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

92212792368 is a wasteful number, since it uses less digits than its factorization.

92212792368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 92212792368 in words is "ninety-two billion, two hundred twelve million, seven hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 337 388 408 582 674 776 816 1011 1164 1348 1552 1649 2022 2328 2696 3298 3457 4044 4656 4947 5392 5729 6596 6914 8088 9894 10371 11458 13192 13828 16176 17187 19788 20742 22916 26384 27656 32689 34374 39576 41484 45832 55312 58769 65378 68748 79152 82968 91664 98067 117538 130756 137496 165936 176307 196134 235076 261512 274992 335329 352614 392268 470152 523024 555713 670658 705228 784536 940304 1005987 1111426 1165009 1341316 1410456 1569072 1667139 2011974 2222852 2330018 2682632 2820912 3334278 3495027 4023948 4445704 4660036 5365264 5700593 6668556 6990054 8047896 8891408 9320072 11401186 13337112 13980108 16095792 17101779 18640144 19805153 22802372 26674224 27960216 34203558 39610306 45604744 55920432 59415459 68407116 79220612 91209488 113005873 118830918 136814232 158441224 226011746 237661836 273628464 316882448 339017619 452023492 475323672 678035238 904046984 950647344 1356070476 1808093968 1921099841 2712140952 3842199682 5424281904 5763299523 7684399364 11526599046 15368798728 23053198092 30737597456 46106396184 92212792368