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2136892758 = 23711131720929
BaseRepresentation
bin111111101011110…
…0110010101010110
312111220221101210020
41333113212111112
513334021032013
6552013010010
7103645201020
oct17727462526
95456841706
102136892758
119a7247180
124b7783906
132809372b0
14163b31010
15c7903623
hex7f5e6556

2136892758 has 128 divisors (see below), whose sum is σ = 6076062720. Its totient is φ = 482181120.

The previous prime is 2136892727. The next prime is 2136892777. The reversal of 2136892758 is 8572986312.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2136892758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91638 + ... + 112566.

It is an arithmetic number, because the mean of its divisors is an integer number (47469240).

Almost surely, 22136892758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136892758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038031360).

2136892758 is an abundant number, since it is smaller than the sum of its proper divisors (3939169962).

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

2136892758 is a wasteful number, since it uses less digits than its factorization.

2136892758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20982.

The product of its digits is 1451520, while the sum is 51.

The square root of 2136892758 is about 46226.5373784366. The cubic root of 2136892758 is about 1288.0347372259.

The spelling of 2136892758 in words is "two billion, one hundred thirty-six million, eight hundred ninety-two thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 429 442 462 546 561 663 714 858 1001 1122 1309 1326 1547 2002 2431 2618 3003 3094 3927 4641 4862 6006 7293 7854 9282 14586 17017 20929 34034 41858 51051 62787 102102 125574 146503 230219 272077 293006 355793 439509 460438 544154 690657 711586 816231 879018 1067379 1381314 1611533 1632462 1904539 2134758 2490551 2992847 3223066 3809078 3913723 4625309 4834599 4981102 5713617 5985694 7471653 7827446 8978541 9250618 9669198 11427234 11741169 13875927 14943306 17957082 20949929 23482338 27396061 27751854 32377163 41899858 50878399 54792122 62849787 64754326 82188183 97131489 101756798 125699574 152635197 164376366 194262978 305270394 356148793 712297586 1068446379 2136892758