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3969992640 = 263517592351
BaseRepresentation
bin1110110010100001…
…0100011111000000
3101020200020112002110
43230220110133000
531112304231030
61453534415320
7200244244365
oct35450243700
911220215073
103969992640
111757a59259
12929661540
134b3646293
1429938246c
151837e91b0
hexeca147c0

3969992640 has 112 divisors (see below), whose sum is σ = 12617256960. Its totient is φ = 1057612800.

The previous prime is 3969992633. The next prime is 3969992657. The reversal of 3969992640 is 462999693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687465 + ... + 1689815.

It is an arithmetic number, because the mean of its divisors is an integer number (112654080).

Almost surely, 23969992640 is an apocalyptic number.

3969992640 is a gapful number since it is divisible by the number (30) 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 3969992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308628480).

3969992640 is an abundant number, since it is smaller than the sum of its proper divisors (8647264320).

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

3969992640 is a wasteful number, since it uses less digits than its factorization.

3969992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 57.

The square root of 3969992640 is about 63007.8776027252. The cubic root of 3969992640 is about 1583.4216080301.

The spelling of 3969992640 in words is "three billion, nine hundred sixty-nine million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1759 2351 3518 4702 5277 7036 7053 8795 9404 10554 11755 14072 14106 17590 18808 21108 23510 26385 28144 28212 35180 35265 37616 42216 47020 52770 56288 56424 70360 70530 75232 84432 94040 105540 112576 112848 140720 141060 150464 168864 188080 211080 225696 281440 282120 337728 376160 422160 451392 562880 564240 752320 844320 1128480 1688640 2256960 4135409 8270818 12406227 16541636 20677045 24812454 33083272 41354090 49624908 62031135 66166544 82708180 99249816 124062270 132333088 165416360 198499632 248124540 264666176 330832720 396999264 496249080 661665440 793998528 992498160 1323330880 1984996320 3969992640