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83586716420680 = 235111409134825983
BaseRepresentation
bin10011000000010110001100…
…100010100100101001001000
3101221221210220222120121102001
4103000112030202210221020
541423441043400430210
6453435112445120344
723414640516506104
oct2300261442445110
9357853828517361
1083586716420680
11246a6a22355690
12945b7ba2590b4
13378426927bcc5
14168d893868904
1599e437c3003a
hex4c058c8a4a48

83586716420680 has 64 divisors (see below), whose sum is σ = 205313008435200. Its totient is φ = 30373597224960.

The previous prime is 83586716420671. The next prime is 83586716420681. The reversal of 83586716420680 is 8602461768538.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83586716420681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66793032 + ... + 68032951.

It is an arithmetic number, because the mean of its divisors is an integer number (3208015756800).

Almost surely, 283586716420680 is an apocalyptic number.

It is an amenable number.

83586716420680 is an abundant number, since it is smaller than the sum of its proper divisors (121726292014520).

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

83586716420680 is a wasteful number, since it uses less digits than its factorization.

83586716420680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134827414 (or 134827410 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 83586716420680 in words is "eighty-three trillion, five hundred eighty-six billion, seven hundred sixteen million, four hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1409 2818 5636 7045 11272 14090 15499 28180 30998 56360 61996 77495 123992 154990 309980 619960 134825983 269651966 539303932 674129915 1078607864 1348259830 1483085813 2696519660 2966171626 5393039320 5932343252 7415429065 11864686504 14830858130 29661716260 59323432520 189969810047 379939620094 759879240188 949849050235 1519758480376 1899698100470 2089667910517 3799396200940 4179335821034 7598792401880 8358671642068 10448339552585 16717343284136 20896679105170 41793358210340 83586716420680