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86922042688 = 26131915735023
BaseRepresentation
bin101000011110011110…
…1010001110101000000
322022100202011021110101
41100330331101311000
52411004020331223
6103533105012144
76165003113035
oct1207475216500
9268322137411
1086922042688
1133955255218
1214a1a024054
138273244370
1442c820138c
1523db0394ad
hex143cf51d40

86922042688 has 112 divisors (see below), whose sum is σ = 196781643520. Its totient is φ = 37763241984.

The previous prime is 86922042637. The next prime is 86922042737. The reversal of 86922042688 is 88624022968.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2464345 + ... + 2499367.

It is an arithmetic number, because the mean of its divisors is an integer number (1756978960).

Almost surely, 286922042688 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 86922042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98390821760).

86922042688 is an abundant number, since it is smaller than the sum of its proper divisors (109859600832).

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

86922042688 is a wasteful number, since it uses less digits than its factorization.

86922042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35224 (or 35214 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 86922042688 in words is "eighty-six billion, nine hundred twenty-two million, forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 157 208 247 304 314 416 494 608 628 832 988 1216 1256 1976 2041 2512 2983 3952 4082 5024 5966 7904 8164 10048 11932 15808 16328 23864 32656 35023 38779 47728 65312 70046 77558 95456 130624 140092 155116 190912 280184 310232 455299 560368 620464 665437 910598 1120736 1240928 1330874 1821196 2241472 2481856 2661748 3642392 5323496 5498611 7284784 8650681 10646992 10997222 14569568 17301362 21293984 21994444 29139136 34602724 42587968 43988888 69205448 71481943 87977776 104473609 138410896 142963886 175955552 208947218 276821792 285927772 351911104 417894436 553643584 571855544 835788872 1143711088 1358156917 1671577744 2287422176 2716313834 3343155488 4574844352 5432627668 6686310976 10865255336 21730510672 43461021344 86922042688