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86233299951864 = 233131763125765711
BaseRepresentation
bin10011100110110111000001…
…001101100010000011111000
3102022022211012221102002100010
4103212313001031202003320
542300321244241424424
6503223010415141520
724110102363366352
oct2346670115420370
9368284187362303
1086233299951864
11255273787a846a
1298087118148a0
1339169c446c6c0
1417419dd2760d2
159e81d5513229
hex4e6dc13620f8

86233299951864 has 128 divisors (see below), whose sum is σ = 246213021358080. Its totient is φ = 24932962252800.

The previous prime is 86233299951857. The next prime is 86233299951937. The reversal of 86233299951864 is 46815999233268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9536032 + ... + 16229679.

It is an arithmetic number, because the mean of its divisors is an integer number (1923539229360).

Almost surely, 286233299951864 is an apocalyptic number.

It is an amenable number.

86233299951864 is an abundant number, since it is smaller than the sum of its proper divisors (159979721406216).

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

86233299951864 is a wasteful number, since it uses less digits than its factorization.

86233299951864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25766381 (or 25766377 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 75.

The spelling of 86233299951864 in words is "eighty-six trillion, two hundred thirty-three billion, two hundred ninety-nine million, nine hundred fifty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 631 663 884 1262 1326 1768 1893 2524 2652 3786 5048 5304 7572 8203 10727 15144 16406 21454 24609 32181 32812 42908 49218 64362 65624 85816 98436 128724 139451 196872 257448 278902 418353 557804 836706 1115608 1673412 3346824 25765711 51531422 77297133 103062844 154594266 206125688 309188532 334954243 438017087 618377064 669908486 876034174 1004862729 1314051261 1339816972 1752068348 2009725458 2628102522 2679633944 3504136696 4019450916 5256205044 5694222131 8038901832 10512410088 11388444262 16258163641 17082666393 22776888524 32516327282 34165332786 45553777048 48774490923 65032654564 68330665572 97548981846 130065309128 136661331144 195097963692 211356127333 276388781897 390195927384 422712254666 552777563794 634068381999 829166345691 845424509332 1105555127588 1268136763998 1658332691382 1690849018664 2211110255176 2536273527996 3316665382764 3593054164661 5072547055992 6633330765528 7186108329322 10779162493983 14372216658644 21558324987966 28744433317288 43116649975932 86233299951864