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5737872672 = 253272846167
BaseRepresentation
bin1010101100000000…
…01111110100100000
3112210212211010120200
411112000033310200
543222343411142
62345210305200
7262122053520
oct52600176440
915725733520
105737872672
112484974734
121141728200
1370599b43c
143c6097680
15238b0a64c
hex15600fd20

5737872672 has 72 divisors (see below), whose sum is σ = 18648092736. Its totient is φ = 1639391616.

The previous prime is 5737872667. The next prime is 5737872703. The reversal of 5737872672 is 2762787375.

It is a happy number.

5737872672 is a `hidden beast` number, since 5 + 7 + 378 + 7 + 267 + 2 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1421068 + ... + 1425099.

It is an arithmetic number, because the mean of its divisors is an integer number (259001288).

Almost surely, 25737872672 is an apocalyptic number.

It is an amenable number.

5737872672 is an abundant number, since it is smaller than the sum of its proper divisors (12910220064).

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

5737872672 is a wasteful number, since it uses less digits than its factorization.

5737872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846190 (or 2846179 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 5737872672 is about 75748.7469995379. The cubic root of 5737872672 is about 1790.2635476416.

The spelling of 5737872672 in words is "five billion, seven hundred thirty-seven million, eight hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2846167 5692334 8538501 11384668 17077002 19923169 22769336 25615503 34154004 39846338 45538672 51231006 59769507 68308008 79692676 91077344 102462012 119539014 136616016 159385352 179308521 204924024 239078028 273232032 318770704 358617042 409848048 478156056 637541408 717234084 819696096 956312112 1434468168 1912624224 2868936336 5737872672