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870672782723316 = 2231727169122791739
BaseRepresentation
bin1100010111110111110100110…
…1111011100000100011110100
311020011210111122020112111012120
43011331331031323200203310
51403110100324334121231
612323433315442115540
7351252014134206456
oct30575751573404364
94204714566474176
10870672782723316
11232472287500211
128179a27534bbb0
132b4a9125235891
1411500b04dbc2d6
156a9d2e5656d96
hex317df4dee08f4

870672782723316 has 96 divisors (see below), whose sum is σ = 2162136044759040. Its totient is φ = 271750450521600.

The previous prime is 870672782723201. The next prime is 870672782723327. The reversal of 870672782723316 is 613327287276078.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26805375 + ... + 49597113.

It is an arithmetic number, because the mean of its divisors is an integer number (22522250466240).

Almost surely, 2870672782723316 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 870672782723316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081068022379520).

870672782723316 is an abundant number, since it is smaller than the sum of its proper divisors (1291463262035724).

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

870672782723316 is a wasteful number, since it uses less digits than its factorization.

870672782723316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22792725 (or 22792723 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 69.

The spelling of 870672782723316 in words is "eight hundred seventy trillion, six hundred seventy-two billion, seven hundred eighty-two million, seven hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 271 542 691 813 1084 1382 1626 2073 2764 3252 4146 4607 8292 9214 11747 13821 18428 23494 27642 35241 46988 55284 70482 140964 187261 374522 561783 749044 1123566 2247132 3183437 6366874 9550311 12733748 19100622 22791739 38201244 45583478 68375217 91166956 136750434 273500868 387459563 774919126 1162378689 1549838252 2324757378 4649514756 6176561269 12353122538 15749091649 18529683807 24706245076 31498183298 37059367614 47247274947 62996366596 74118735228 94494549894 105001541573 188989099788 210003083146 267734558033 315004624719 420006166292 535469116066 630009249438 803203674099 1070938232132 1260018498876 1606407348198 3212814696396 4268003836879 8536007673758 12804011510637 17072015347516 25608023021274 51216046042548 72556065226943 145112130453886 217668195680829 290224260907772 435336391361658 870672782723316