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7978653696 = 211313191523
BaseRepresentation
bin1110110111001000…
…01001100000000000
3202121001020121021110
413123210021200000
5112320013404241
63355414123320
7401501303016
oct73344114000
922531217243
107978653696
113424818682
121668050540
139a1caac80
1455990c8b6
1531a6d0816
hex1db909800

7978653696 has 192 divisors, whose sum is σ = 23071426560. Its totient is φ = 2437447680.

The previous prime is 7978653677. The next prime is 7978653703. The reversal of 7978653696 is 6963568797.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15255291 + ... + 15255813.

It is an arithmetic number, because the mean of its divisors is an integer number (120163680).

Almost surely, 27978653696 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 7978653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535713280).

7978653696 is an abundant number, since it is smaller than the sum of its proper divisors (15092772864).

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

7978653696 is a wasteful number, since it uses less digits than its factorization.

7978653696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 66.

The square root of 7978653696 is about 89323.3099252373. The cubic root of 7978653696 is about 1998.2195568147.

The spelling of 7978653696 in words is "seven billion, nine hundred seventy-eight million, six hundred fifty-three thousand, six hundred ninety-six".