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5164584012 = 2232736755843
BaseRepresentation
bin1001100111101010…
…10100110001001100
3111022221002001101100
410303311110301030
541034113142022
62212250543100
7241661145150
oct46365246114
914287061340
105164584012
112210300455
121001737a90
13643c95993
1436dca5060
152036171ac
hex133d54c4c

5164584012 has 72 divisors (see below), whose sum is σ = 14960830976. Its totient is φ = 1471548384.

The previous prime is 5164583989. The next prime is 5164584017. The reversal of 5164584012 is 2104854615.

It is a happy number.

5164584012 is a `hidden beast` number, since 5 + 1 + 64 + 584 + 0 + 12 = 666.

It is a super-2 number, since 2×51645840122 = 53345856034012032288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5164584017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64563 + ... + 120405.

Almost surely, 25164584012 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 5164584012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480415488).

5164584012 is an abundant number, since it is smaller than the sum of its proper divisors (9796246964).

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

5164584012 is a wasteful number, since it uses less digits than its factorization.

5164584012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56227 (or 56222 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5164584012 is about 71865.0402629818. The cubic root of 5164584012 is about 1728.5360790127.

The spelling of 5164584012 in words is "five billion, one hundred sixty-four million, five hundred eighty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 367 734 1101 1468 2202 2569 3303 4404 5138 6606 7707 10276 13212 15414 23121 30828 46242 55843 92484 111686 167529 223372 335058 390901 502587 670116 781802 1005174 1172703 1563604 2010348 2345406 3518109 4690812 7036218 14072436 20494381 40988762 61483143 81977524 122966286 143460667 184449429 245932572 286921334 368898858 430382001 573842668 737797716 860764002 1291146003 1721528004 2582292006 5164584012