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2150857368 = 2333111138011
BaseRepresentation
bin1000000000110011…
…0111101010011000
312112220012212122000
42000030313222120
513401104413433
6553232201000
7104204662122
oct20014675230
95486185560
102150857368
11a04114a80
12500399160
132837b658a
14165928212
15c8c61113
hex80337a98

2150857368 has 128 divisors (see below), whose sum is σ = 6576249600. Its totient is φ = 645926400.

The previous prime is 2150857367. The next prime is 2150857411. The reversal of 2150857368 is 8637580512.

2150857368 is a `hidden beast` number, since 2 + 15 + 0 + 8 + 573 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150857367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264483 + ... + 272493.

It is an arithmetic number, because the mean of its divisors is an integer number (51376950).

Almost surely, 22150857368 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 2150857368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288124800).

2150857368 is an abundant number, since it is smaller than the sum of its proper divisors (4425392232).

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

2150857368 is a wasteful number, since it uses less digits than its factorization.

2150857368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2150857368 is about 46377.3367928776. The cubic root of 2150857368 is about 1290.8344195878.

The spelling of 2150857368 in words is "two billion, one hundred fifty million, eight hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 113 132 198 216 226 264 297 339 396 452 594 678 792 904 1017 1188 1243 1356 2034 2376 2486 2712 3051 3729 4068 4972 6102 7458 8011 8136 9944 11187 12204 14916 16022 22374 24033 24408 29832 32044 33561 44748 48066 64088 67122 72099 88121 89496 96132 134244 144198 176242 192264 216297 264363 268488 288396 352484 432594 528726 576792 704968 793089 865188 905243 1057452 1586178 1730376 1810486 2114904 2379267 2715729 3172356 3620972 4758534 5431458 6344712 7241944 8147187 9517068 9957673 10862916 16294374 19034136 19915346 21725832 24441561 29873019 32588748 39830692 48883122 59746038 65177496 79661384 89619057 97766244 119492076 179238114 195532488 238984152 268857171 358476228 537714342 716952456 1075428684 2150857368