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5165851068 = 2232727194073
BaseRepresentation
bin1001100111110100…
…01010000110111100
3111100000110102110100
410303322022012330
541034424213233
62212334041100
7242005003200
oct46372120674
914300412410
105165851068
112210a96404
121002049190
1364431a611
14370114b00
152037b7813
hex133e8a1bc

5165851068 has 108 divisors (see below), whose sum is σ = 15214923360. Its totient is φ = 1473542784.

The previous prime is 5165851049. The next prime is 5165851079. The reversal of 5165851068 is 8601585615.

5165851068 is a `hidden beast` number, since 5 + 1 + 6 + 585 + 1 + 0 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1266280 + ... + 1270352.

It is an arithmetic number, because the mean of its divisors is an integer number (140878920).

Almost surely, 25165851068 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 5165851068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607461680).

5165851068 is an abundant number, since it is smaller than the sum of its proper divisors (10049072292).

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

5165851068 is a wasteful number, since it uses less digits than its factorization.

5165851068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 5165851068 is about 71873.8552465359. The cubic root of 5165851068 is about 1728.6774245643.

It can be divided in two parts, 516585 and 1068, that added together give a triangular number (517653 = T1017).

The spelling of 5165851068 in words is "five billion, one hundred sixty-five million, eight hundred fifty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 719 882 1438 1764 2157 2876 4073 4314 5033 6471 8146 8628 10066 12219 12942 15099 16292 20132 24438 25884 28511 30198 35231 36657 45297 48876 57022 60396 70462 73314 85533 90594 105693 114044 140924 146628 171066 181188 199577 211386 256599 317079 342132 399154 422772 513198 598731 634158 798308 1026396 1197462 1268316 1796193 2394924 2928487 3592386 5856974 7184772 8785461 11713948 17570922 20499409 26356383 35141844 40998818 52712766 61498227 81997636 105425532 122996454 143495863 184494681 245992908 286991726 368989362 430487589 573983452 737978724 860975178 1291462767 1721950356 2582925534 5165851068