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86998461952 = 292326472791
BaseRepresentation
bin101000100000110000…
…0110010111000000000
322022120001221202222111
41101001200302320000
52411133101240302
6103544434545104
76166621503523
oct1210140627000
9268501852874
1086998461952
1133994400136
1214a3b738194
13828601c96c
1442d4414bba
1523e2ad20d7
hex1441832e00

86998461952 has 80 divisors (see below), whose sum is σ = 181518239232. Its totient is φ = 41577338880.

The previous prime is 86998461919. The next prime is 86998461973. The reversal of 86998461952 is 25916489968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31169677 + ... + 31172467.

Almost surely, 286998461952 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 86998461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90759119616).

86998461952 is an abundant number, since it is smaller than the sum of its proper divisors (94519777280).

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

86998461952 is a wasteful number, since it uses less digits than its factorization.

86998461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5463 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 67.

The spelling of 86998461952 in words is "eighty-six billion, nine hundred ninety-eight million, four hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2647 2791 2944 5294 5582 5888 10588 11164 11776 21176 22328 42352 44656 60881 64193 84704 89312 121762 128386 169408 178624 243524 256772 338816 357248 487048 513544 677632 714496 974096 1027088 1355264 1428992 1948192 2054176 3896384 4108352 7387777 7792768 8216704 14775554 15585536 16433408 29551108 31171072 32866816 59102216 118204432 169918871 236408864 339837742 472817728 679675484 945635456 1359350968 1891270912 2718701936 3782541824 5437403872 10874807744 21749615488 43499230976 86998461952