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96980561856 = 26321319127649
BaseRepresentation
bin101101001010001111…
…1011110111111000000
3100021022202000222210100
41122110133132333000
53042104010434411
6112315142002400
710002161113563
oct1322437367700
9307282028710
1096980561856
1138146aa9582
1216966716400
1391b70b0759
1449a00384da
1527c9106456
hex16947defc0

96980561856 has 84 divisors (see below), whose sum is σ = 278190198000. Its totient is φ = 32302092288.

The previous prime is 96980561791. The next prime is 96980561981. The reversal of 96980561856 is 65816508969.

96980561856 is a `hidden beast` number, since 9 + 6 + 9 + 8 + 0 + 5 + 618 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96980561793 and 96980561802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695920 + ... + 823568.

Almost surely, 296980561856 is an apocalyptic number.

96980561856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96980561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139095099000).

96980561856 is an abundant number, since it is smaller than the sum of its proper divisors (181209636144).

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

96980561856 is a wasteful number, since it uses less digits than its factorization.

96980561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128986 (or 128973 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 96980561856 in words is "ninety-six billion, nine hundred eighty million, five hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1319 2638 3957 5276 7914 10552 11871 15828 21104 23742 31656 42208 47484 63312 84416 94968 126624 127649 189936 253248 255298 379872 382947 510596 759744 765894 1021192 1148841 1531788 2042384 2297682 3063576 4084768 4595364 6127152 8169536 9190728 12254304 18381456 24508608 36762912 73525824 168369031 336738062 505107093 673476124 1010214186 1346952248 1515321279 2020428372 2693904496 3030642558 4040856744 5387808992 6061285116 8081713488 10775617984 12122570232 16163426976 24245140464 32326853952 48490280928 96980561856