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2137794472 = 2311173121487
BaseRepresentation
bin111111101101100…
…0010011110101000
312111222122012201001
41333123002132220
513334233410342
6552044204344
7103655644642
oct17733023650
95458565631
102137794472
119a78026a0
124b7b396b4
13280b91858
14163cc7892
15c7a308b7
hex7f6c27a8

2137794472 has 96 divisors (see below), whose sum is σ = 4787372160. Its totient is φ = 884467200.

The previous prime is 2137794469. The next prime is 2137794551. The reversal of 2137794472 is 2744977312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436913 + ... + 1438399.

It is an arithmetic number, because the mean of its divisors is an integer number (49868460).

Almost surely, 22137794472 is an apocalyptic number.

2137794472 is a gapful number since it is divisible by the number (22) 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 2137794472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393686080).

2137794472 is an abundant number, since it is smaller than the sum of its proper divisors (2649577688).

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

2137794472 is a wasteful number, since it uses less digits than its factorization.

2137794472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1548 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The square root of 2137794472 is about 46236.2895570135. The cubic root of 2137794472 is about 1288.2158843023.

The spelling of 2137794472 in words is "two billion, one hundred thirty-seven million, seven hundred ninety-four thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 682 748 961 1054 1364 1487 1496 1922 2108 2728 2974 3844 4216 5797 5948 7688 10571 11594 11896 16337 16357 21142 23188 25279 32674 32714 42284 46097 46376 50558 65348 65428 84568 92194 101116 130696 130856 179707 184388 202232 278069 359414 368776 507067 556138 718828 783649 1014134 1112276 1429007 1437656 1567298 2028268 2224552 2858014 3134596 4056536 5716028 6269192 8620139 11432056 15719077 17240278 24293119 31438154 34480556 48586238 62876308 68961112 97172476 125752616 194344952 267224309 534448618 1068897236 2137794472