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86539518976 = 2102923172
BaseRepresentation
bin101000010011000101…
…0000100010000000000
322021101002101001120111
41100212022010100000
52404213104101401
6103431122121104
76152346526411
oct1204612042000
9267332331514
1086539518976
1133779336519
1214931ab0194
138211c11581
14428d4a9808
1523b7678e51
hex1426284400

86539518976 has 99 divisors (see below), whose sum is σ = 179732530159. Its totient is φ = 41645907968.

The previous prime is 86539518973. The next prime is 86539518983. The reversal of 86539518976 is 67981593568.

The square root of 86539518976 is 294176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21526758400 + 65012760576 = 146720^2 + 254976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86539518973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 272995170 + ... + 272995486.

Almost surely, 286539518976 is an apocalyptic number.

86539518976 is the 294176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86539518976

86539518976 is an abundant number, since it is smaller than the sum of its proper divisors (93193011183).

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

86539518976 is an frugal number, since it uses more digits than its factorization.

86539518976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 348 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 67.

The spelling of 86539518976 in words is "eighty-six billion, five hundred thirty-nine million, five hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 317 464 512 634 841 928 1024 1268 1682 1856 2536 3364 3712 5072 6728 7424 9193 10144 13456 14848 18386 20288 26912 29696 36772 40576 53824 73544 81152 100489 107648 147088 162304 200978 215296 266597 294176 324608 401956 430592 533194 588352 803912 861184 1066388 1176704 1607824 2132776 2353408 2914181 3215648 4265552 4706816 5828362 6431296 8531104 9413632 11656724 12862592 17062208 23313448 25725184 34124416 46626896 51450368 68248832 84511249 93253792 102900736 136497664 169022498 186507584 272995328 338044996 373015168 676089992 746030336 1352179984 1492060672 2704359968 2984121344 5408719936 10817439872 21634879744 43269759488 86539518976