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3900632064 = 21037225913
BaseRepresentation
bin1110100001111110…
…1110110000000000
3101001211201122021020
43220133232300000
530442030211224
61443020025440
7165442553100
oct35037566000
911054648236
103900632064
11172189466a
1290a392280
134a216c814
14290089200
1517c697c79
hexe87eec00

3900632064 has 132 divisors (see below), whose sum is σ = 12094478424. Its totient is φ = 1114423296.

The previous prime is 3900632059. The next prime is 3900632081. The reversal of 3900632064 is 4602360093.

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, 137572 + ... + 163484.

Almost surely, 23900632064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047239212).

3900632064 is an abundant number, since it is smaller than the sum of its proper divisors (8193846360).

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

3900632064 is a wasteful number, since it uses less digits than its factorization.

3900632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25950 (or 25925 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3900632064 is about 62455.0403410325. The cubic root of 3900632064 is about 1574.1459468448.

The spelling of 3900632064 in words is "three billion, nine hundred million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 21504 25088 25913 37632 50176 51826 75264 77739 103652 150528 155478 181391 207304 310956 362782 414608 544173 621912 725564 829216 1088346 1243824 1269737 1451128 1658432 2176692 2487648 2539474 2902256 3316864 3809211 4353384 4975296 5078948 5804512 6633728 7618422 8706768 9950592 10157896 11609024 13267456 15236844 17413536 19901184 20315792 23218048 26534912 30473688 34827072 39802368 40631584 46436096 60947376 69654144 79604736 81263168 92872192 121894752 139308288 162526336 185744384 243789504 278616576 325052672 487579008 557233152 650105344 975158016 1300210688 1950316032 3900632064