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86701960192 = 210891138419
BaseRepresentation
bin101000010111111010…
…1101110110000000000
322021210102000221000211
41100233311232300000
52410031200211232
6103455203523504
76156361334101
oct1205765566000
9267712027024
1086701960192
1133851aa5a61
1214978389594
138239778233
1442a6cb23a8
1523c6a64a47
hex142fd6ec00

86701960192 has 88 divisors (see below), whose sum is σ = 176838692400. Its totient is φ = 42479517696.

The previous prime is 86701960187. The next prime is 86701960201. The reversal of 86701960192 is 29106910768.

It is a super-2 number, since 2×867019601922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10294159 + ... + 10302577.

Almost surely, 286701960192 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 86701960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88419346200).

86701960192 is an abundant number, since it is smaller than the sum of its proper divisors (90136732208).

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

86701960192 is a wasteful number, since it uses less digits than its factorization.

86701960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 86701960192 in words is "eighty-six billion, seven hundred one million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 89 113 128 178 226 256 356 452 512 712 904 1024 1424 1808 2848 3616 5696 7232 8419 10057 11392 14464 16838 20114 22784 28928 33676 40228 45568 57856 67352 80456 91136 115712 134704 160912 269408 321824 538816 643648 749291 951347 1077632 1287296 1498582 1902694 2155264 2574592 2997164 3805388 4310528 5149184 5994328 7610776 8621056 10298368 11988656 15221552 23977312 30443104 47954624 60886208 84669883 95909248 121772416 169339766 191818496 243544832 338679532 383636992 487089664 677359064 767273984 974179328 1354718128 2709436256 5418872512 10837745024 21675490048 43350980096 86701960192