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5639661000 = 233253626629
BaseRepresentation
bin1010100000010011…
…00110010111001000
3112120001000110111100
411100021212113020
543022223123000
62331341301400
7256520220231
oct52011462710
915501013440
105639661000
112434494866
121114864860
136bb53291c
143b7010088
152301aaa00
hex1502665c8

5639661000 has 96 divisors (see below), whose sum is σ = 19062084600. Its totient is φ = 1503907200.

The previous prime is 5639660993. The next prime is 5639661029. The reversal of 5639661000 is 1669365.

5639661000 is a `hidden beast` number, since 5 + 6 + 39 + 6 + 610 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3104941284 + 2534719716 = 55722^2 + 50346^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 304315 + ... + 322314.

Almost surely, 25639661000 is an apocalyptic number.

5639661000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5639661000 is an abundant number, since it is smaller than the sum of its proper divisors (13422423600).

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

5639661000 is a wasteful number, since it uses less digits than its factorization.

5639661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626656 (or 626639 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5639661000 is about 75097.6763954784. The cubic root of 5639661000 is about 1779.9904262415.

The spelling of 5639661000 in words is "five billion, six hundred thirty-nine million, six hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 626629 1253258 1879887 2506516 3133145 3759774 5013032 5639661 6266290 7519548 9399435 11279322 12532580 15039096 15665725 18798870 22558644 25065160 28198305 31331450 37597740 45117288 46997175 56396610 62662900 75195480 78328625 93994350 112793220 125325800 140991525 156657250 187988700 225586440 234985875 281983050 313314500 375977400 469971750 563966100 626629000 704957625 939943500 1127932200 1409915250 1879887000 2819830500 5639661000