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6689935104 = 28312017253
BaseRepresentation
bin1100011101100000…
…00100111100000000
3122021020021220201020
412032300010330000
5102200110410404
63023500305440
7324532336656
oct61660047400
918236256636
106689935104
112923326296
121368542280
13827cc2ba8
144766c6dd6
152924bced9
hex18ec04f00

6689935104 has 72 divisors (see below), whose sum is σ = 17822265552. Its totient is φ = 2227814400.

The previous prime is 6689935103. The next prime is 6689935163. The reversal of 6689935104 is 4015399866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6689935103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918742 + ... + 925994.

It is an arithmetic number, because the mean of its divisors is an integer number (247531466).

Almost surely, 26689935104 is an apocalyptic number.

6689935104 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 6689935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911132776).

6689935104 is an abundant number, since it is smaller than the sum of its proper divisors (11132330448).

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

6689935104 is a wasteful number, since it uses less digits than its factorization.

6689935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 6689935104 is about 81792.0234741750. The cubic root of 6689935104 is about 1884.2591589974.

The spelling of 6689935104 in words is "six billion, six hundred eighty-nine million, nine hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1201 2402 3603 4804 7206 7253 9608 14412 14506 19216 21759 28824 29012 38432 43518 57648 58024 76864 87036 115296 116048 153728 174072 230592 232096 307456 348144 461184 464192 696288 922368 928384 1392576 1856768 2785152 5570304 8710853 17421706 26132559 34843412 52265118 69686824 104530236 139373648 209060472 278747296 418120944 557494592 836241888 1114989184 1672483776 2229978368 3344967552 6689935104