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1689695136 = 253217093433
BaseRepresentation
bin110010010110110…
…1011001110100000
311100202110101222100
41210231223032200
511430030221021
6435400010400
756605112613
oct14455531640
94322411870
101689695136
11797874a68
123b1a60a00
1320c0ac00c
141205a217a
159d51a626
hex64b6b3a0

1689695136 has 72 divisors (see below), whose sum is σ = 4809282660. Its totient is φ = 562738176.

The previous prime is 1689695113. The next prime is 1689695141. The reversal of 1689695136 is 6315969861.

1689695136 is a `hidden beast` number, since 1 + 68 + 9 + 69 + 513 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1582448400 + 107246736 = 39780^2 + 10356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 490476 + ... + 493908.

Almost surely, 21689695136 is an apocalyptic number.

1689695136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1689695136 is an abundant number, since it is smaller than the sum of its proper divisors (3119587524).

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

1689695136 is a wasteful number, since it uses less digits than its factorization.

1689695136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5147 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 1689695136 is about 41105.9014741193. The cubic root of 1689695136 is about 1191.0667965845.

The spelling of 1689695136 in words is "one billion, six hundred eighty-nine million, six hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1709 3418 3433 5127 6836 6866 10254 10299 13672 13732 15381 20508 20598 27344 27464 30762 30897 41016 41196 54688 54928 61524 61794 82032 82392 109856 123048 123588 164064 164784 246096 247176 329568 492192 494352 988704 5866997 11733994 17600991 23467988 35201982 46935976 52802973 70403964 93871952 105605946 140807928 187743904 211211892 281615856 422423784 563231712 844847568 1689695136