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86929512288 = 2537165319531
BaseRepresentation
bin101000011110101100…
…1110001011101100000
322022101021012202211020
41100331121301131200
52411012423343123
6103533533045440
76165123443223
oct1207531613540
9268337182736
1086929512288
1133959497243
1214a20626880
13827495b248
1442c91c75ba
1523dba127e3
hex143d671760

86929512288 has 96 divisors (see below), whose sum is σ = 231770149632. Its totient is φ = 28523174400.

The previous prime is 86929512259. The next prime is 86929512331. The reversal of 86929512288 is 88221592968.

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

It is a congruent number.

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, 4441083 + ... + 4460613.

It is an arithmetic number, because the mean of its divisors is an integer number (2414272392).

Almost surely, 286929512288 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 86929512288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115885074816).

86929512288 is an abundant number, since it is smaller than the sum of its proper divisors (144840637344).

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

86929512288 is a wasteful number, since it uses less digits than its factorization.

86929512288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268 (or 20260 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The spelling of 86929512288 in words is "eighty-six billion, nine hundred twenty-nine million, five hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 653 852 1136 1306 1704 1959 2272 2612 3408 3918 5224 6816 7836 10448 15672 19531 20896 31344 39062 46363 58593 62688 78124 92726 117186 139089 156248 185452 234372 278178 312496 370904 468744 556356 624992 741808 937488 1112712 1386701 1483616 1874976 2225424 2773402 4160103 4450848 5546804 8320206 11093608 12753743 16640412 22187216 25507486 33280824 38261229 44374432 51014972 66561648 76522458 102029944 133123296 153044916 204059888 306089832 408119776 612179664 905515753 1224359328 1811031506 2716547259 3622063012 5433094518 7244126024 10866189036 14488252048 21732378072 28976504096 43464756144 86929512288