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6897691904 = 28192361657
BaseRepresentation
bin1100110110010001…
…00110110100000000
3122210201020001110112
412123020212310000
5103111302120104
63100241250452
7332634261635
oct63310466400
918721201415
106897691904
112a1a627024
121406033a28
1385c0649cc
1449612818c
152a585a86e
hex19b226d00

6897691904 has 72 divisors (see below), whose sum is σ = 15123474240. Its totient is φ = 3125219328.

The previous prime is 6897691903. The next prime is 6897691939. The reversal of 6897691904 is 4091967986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6897691901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81044 + ... + 142700.

Almost surely, 26897691904 is an apocalyptic number.

6897691904 is a gapful number since it is divisible by the number (64) 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 6897691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561737120).

6897691904 is an abundant number, since it is smaller than the sum of its proper divisors (8225782336).

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

6897691904 is a wasteful number, since it uses less digits than its factorization.

6897691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61715 (or 61701 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 59.

The square root of 6897691904 is about 83052.3443618541. The cubic root of 6897691904 is about 1903.5659627829.

The spelling of 6897691904 in words is "six billion, eight hundred ninety-seven million, six hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 4864 5888 6992 13984 27968 55936 61657 111872 123314 246628 493256 986512 1171483 1418111 1973024 2342966 2836222 3946048 4685932 5672444 7892096 9371864 11344888 15784192 18743728 22689776 26944109 37487456 45379552 53888218 74974912 90759104 107776436 149949824 181518208 215552872 299899648 363036416 431105744 862211488 1724422976 3448845952 6897691904