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2137746168 = 233422714533
BaseRepresentation
bin111111101101011…
…0110101011111000
312111222112202110000
41333122312223320
513334230334133
6552043153000
7103655354055
oct17732665370
95458482400
102137746168
119a777a378
124b7b15760
13280b7587c
14163cb402c
15c7a21413
hex7f6b6af8

2137746168 has 80 divisors (see below), whose sum is σ = 6014459880. Its totient is φ = 709394112.

The previous prime is 2137746137. The next prime is 2137746181. The reversal of 2137746168 is 8616477312.

2137746168 is a `hidden beast` number, since 21 + 3 + 7 + 7 + 4 + 616 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139830 + ... + 154362.

Almost surely, 22137746168 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 2137746168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007229940).

2137746168 is an abundant number, since it is smaller than the sum of its proper divisors (3876713712).

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

2137746168 is a wasteful number, since it uses less digits than its factorization.

2137746168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14778 (or 14765 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2137746168 is about 46235.7671938079. The cubic root of 2137746168 is about 1288.2061817094.

The spelling of 2137746168 in words is "two billion, one hundred thirty-seven million, seven hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 324 454 648 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 14533 16344 18387 24516 29066 36774 43599 49032 58132 73548 87198 116264 130797 147096 174396 261594 348792 392391 523188 784782 1046376 1177173 1569564 2354346 3139128 3298991 4708692 6597982 9417384 9896973 13195964 19793946 26391928 29690919 39587892 59381838 79175784 89072757 118763676 178145514 237527352 267218271 356291028 534436542 712582056 1068873084 2137746168