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2137639896 = 23357222441
BaseRepresentation
bin111111101101001…
…1100101111011000
312111222100100200000
41333122130233120
513334213434041
6552041013000
7103654432200
oct17732345730
95458310600
102137639896
119a7707547
124b7a84160
13280b393a2
14163c87400
15c79eebb6
hex7f69cbd8

2137639896 has 144 divisors (see below), whose sum is σ = 6984399240. Its totient is φ = 610727040.

The previous prime is 2137639873. The next prime is 2137639921. The reversal of 2137639896 is 6989367312.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84036 + ... + 106476.

Almost surely, 22137639896 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 2137639896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492199620).

2137639896 is an abundant number, since it is smaller than the sum of its proper divisors (4846759344).

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

2137639896 is a wasteful number, since it uses less digits than its factorization.

2137639896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22476 (or 22453 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2137639896 is about 46234.6179393753. The cubic root of 2137639896 is about 1288.1848348476.

The spelling of 2137639896 in words is "two billion, one hundred thirty-seven million, six hundred thirty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 22441 23814 31752 44882 47628 67323 89764 95256 134646 157087 179528 201969 269292 314174 403938 471261 538584 605907 628348 807876 942522 1099609 1211814 1256696 1413783 1615752 1817721 1885044 2199218 2423628 2827566 3298827 3635442 3770088 4241349 4398436 4847256 5453163 5655132 6597654 7270884 8482698 8796872 9896481 10906326 11310264 12724047 13195308 14541768 16965396 19792962 21812652 25448094 26390616 29689443 33930792 38172141 39585924 43625304 50896188 59378886 76344282 79171848 89068329 101792376 118757772 152688564 178136658 237515544 267204987 305377128 356273316 534409974 712546632 1068819948 2137639896