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86974582992 = 24311337488797
BaseRepresentation
bin101000100000000010…
…1101101000011010000
322022111102000121012120
41101000011231003100
52411110443123432
6103542223054240
76166211520543
oct1210005550320
9268442017176
1086974582992
1133981980560
1214a33741380
1382810ababb
1442d119a85a
1523e0966c2c
hex144016d0d0

86974582992 has 80 divisors (see below), whose sum is σ = 245838021312. Its totient is φ = 26277672960.

The previous prime is 86974582987. The next prime is 86974582993. The reversal of 86974582992 is 29928547968.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86974582993) 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, 66463 + ... + 422334.

Almost surely, 286974582992 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 86974582992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122919010656).

86974582992 is an abundant number, since it is smaller than the sum of its proper divisors (158863438320).

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

86974582992 is a wasteful number, since it uses less digits than its factorization.

86974582992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489156 (or 489150 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 69.

It can be divided in two parts, 86974 and 582992, that added together give a palindrome (669966).

The spelling of 86974582992 in words is "eighty-six billion, nine hundred seventy-four million, five hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 337 528 674 1011 1348 2022 2696 3707 4044 5392 7414 8088 11121 14828 16176 22242 29656 44484 59312 88968 177936 488797 977594 1466391 1955188 2932782 3910376 5376767 5865564 7820752 10753534 11731128 16130301 21507068 23462256 32260602 43014136 64521204 86028272 129042408 164724589 258084816 329449178 494173767 658898356 988347534 1317796712 1811970479 1976695068 2635593424 3623940958 3953390136 5435911437 7247881916 7906780272 10871822874 14495763832 21743645748 28991527664 43487291496 86974582992