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9923928802464 = 2531754191122133
BaseRepresentation
bin1001000001101001100001…
…0000000100010010100000
31022010201101122212000121210
42100122120100010102200
52300043201233134324
633034553455150120
72042660131004265
oct220323020042240
938121348760553
109923928802464
113186795102426
1211433a7815340
1356ca8cc774c1
1426446c09326c
15123226833d29
hex906984044a0

9923928802464 has 96 divisors (see below), whose sum is σ = 27587799046080. Its totient is φ = 3112812122112.

The previous prime is 9923928802423. The next prime is 9923928802493. The reversal of 9923928802464 is 4642088293299.

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

It is a super-2 number, since 2×99239288024642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9923928802395 and 9923928802404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8282742 + ... + 9404874.

It is an arithmetic number, because the mean of its divisors is an integer number (287372906730).

Almost surely, 29923928802464 is an apocalyptic number.

It is an amenable number.

9923928802464 is an abundant number, since it is smaller than the sum of its proper divisors (17663870243616).

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

9923928802464 is a wasteful number, since it uses less digits than its factorization.

9923928802464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127582 (or 1127574 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 9923928802464 in words is "nine trillion, nine hundred twenty-three billion, nine hundred twenty-eight million, eight hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 5419 10838 16257 21676 32514 43352 65028 86704 92123 130056 173408 184246 260112 276369 368492 520224 552738 736984 1105476 1122133 1473968 2210952 2244266 2947936 3366399 4421904 4488532 6732798 8843808 8977064 13465596 17954128 19076261 26931192 35908256 38152522 53862384 57228783 76305044 107724768 114457566 152610088 228915132 305220176 457830264 610440352 915660528 1831321056 6080838727 12161677454 18242516181 24323354908 36485032362 48646709816 72970064724 97293419632 103374258359 145940129448 194586839264 206748516718 291880258896 310122775077 413497033436 583760517792 620245550154 826994066872 1240491100308 1653988133744 2480982200616 3307976267488 4961964401232 9923928802464