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86909953795002 = 232131136899476419
BaseRepresentation
bin10011110000101101001100…
…111011000110001110111010
3102101201111210002222211112200
4103300231030323012032322
542342413041132420002
6504501514231251030
724210015450223542
oct2360551473061672
9371644702884480
1086909953795002
11257683391a7948
1298b7893819a76
13396575bc0b630
14176666db02322
15a0aad9bd0b1c
hex4f0b4cec63ba

86909953795002 has 96 divisors (see below), whose sum is σ = 204614576712000. Its totient is φ = 26500976119296.

The previous prime is 86909953795001. The next prime is 86909953795013. The reversal of 86909953795002 is 20059735990968.

It is a happy number.

86909953795002 is a `hidden beast` number, since 8 + 69 + 0 + 9 + 9 + 53 + 7 + 9 + 500 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (86909953795001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182185149 + ... + 182661567.

It is an arithmetic number, because the mean of its divisors is an integer number (2131401840750).

Almost surely, 286909953795002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86909953795002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102307288356000).

86909953795002 is an abundant number, since it is smaller than the sum of its proper divisors (117704622916998).

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

86909953795002 is a wasteful number, since it uses less digits than its factorization.

86909953795002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483452 (or 483449 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 86909953795002 in words is "eighty-six trillion, nine hundred nine billion, nine hundred fifty-three million, seven hundred ninety-five thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 6899 8814 13221 13798 20697 26442 41394 62091 89687 124182 179374 269061 476419 538122 779587 807183 952838 1429257 1559174 1614366 2338761 2858514 4287771 4677522 6193447 7016283 8575542 10134631 12386894 14032566 18580341 20269262 30403893 37160682 53835347 55741023 60807786 91211679 107670694 111482046 161506041 182423358 323012082 484518123 699859511 969036246 1399719022 2099578533 3286814681 4199157066 6298735599 6573629362 9860444043 12597471198 19720888086 29581332129 42728590853 59162664258 85457181706 128185772559 256371545118 371410058953 384557317677 742820117906 769114635354 1114230176859 2228460353718 3342690530577 4828330766389 6685381061154 9656661532778 14484992299167 28969984598334 43454976897501 86909953795002