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5164125192 = 23369412
BaseRepresentation
bin1001100111100111…
…00100110000001000
3111022220012202000000
410303303210300020
541034004001232
62212233043000
7241654224402
oct46363446010
914286182000
105164125192
112210017766
121001556460
13643b64ba5
1436dbc5b72
1520357627c
hex133ce4c08

5164125192 has 84 divisors (see below), whose sum is σ = 14532905085. Its totient is φ = 1719545760.

The previous prime is 5164125179. The next prime is 5164125229. The reversal of 5164125192 is 2915214615.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5164125192 is a `hidden beast` number, since 5 + 1 + 641 + 2 + 5 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5088539556 + 75585636 = 71334^2 + 8694^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=50814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5487442 + ... + 5488382.

Almost surely, 25164125192 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 5164125192

5164125192 is an abundant number, since it is smaller than the sum of its proper divisors (9368779893).

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

5164125192 is an frugal number, since it uses more digits than its factorization.

5164125192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 946 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5164125192 is about 71861.8479584265. The cubic root of 5164125192 is about 1728.4848899651.

The spelling of 5164125192 in words is "five billion, one hundred sixty-four million, one hundred twenty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 941 972 1458 1882 1944 2823 2916 3764 5646 5832 7528 8469 11292 16938 22584 25407 33876 50814 67752 76221 101628 152442 203256 228663 304884 457326 609768 685989 885481 914652 1371978 1770962 1829304 2656443 2743956 3541924 5312886 5487912 7083848 7969329 10625772 15938658 21251544 23907987 31877316 47815974 63754632 71723961 95631948 143447922 191263896 215171883 286895844 430343766 573791688 645515649 860687532 1291031298 1721375064 2582062596 5164125192