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3996188100 = 2232524440209
BaseRepresentation
bin1110111000110000…
…1111110111000100
3101022111112101111200
43232030033313010
531141011004400
61500312102500
7201013016112
oct35614176704
911274471450
103996188100
1117708202a3
12936394a30
134b8bb8658
1429ca40ab2
15185c70b00
hexee30fdc4

3996188100 has 54 divisors (see below), whose sum is σ = 12525832410. Its totient is φ = 1065649920.

The previous prime is 3996188099. The next prime is 3996188111. The reversal of 3996188100 is 18816993.

It can be written as a sum of positive squares in 3 ways, for example, as 617323716 + 3378864384 = 24846^2 + 58128^2 .

It is a super-2 number, since 2×39961881002 = 31939038661163220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2219205 + ... + 2221004.

Almost surely, 23996188100 is an apocalyptic number.

3996188100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3996188100 is an abundant number, since it is smaller than the sum of its proper divisors (8529644310).

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

3996188100 is a wasteful number, since it uses less digits than its factorization.

3996188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440229 (or 4440219 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 3996188100 is about 63215.4103047667. The cubic root of 3996188100 is about 1586.8966405313.

The spelling of 3996188100 in words is "three billion, nine hundred ninety-six million, one hundred eighty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4440209 8880418 13320627 17760836 22201045 26641254 39961881 44402090 53282508 66603135 79923762 88804180 111005225 133206270 159847524 199809405 222010450 266412540 333015675 399618810 444020900 666031350 799237620 999047025 1332062700 1998094050 3996188100