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5165223426 = 232111011811427
BaseRepresentation
bin1001100111101111…
…10000111000000010
3111022222021112111100
410303313300320002
541034244122201
62212312355230
7241666450266
oct46367607002
914288245440
105165223426
1122106a78a0
1210019a5b16
1364415aa2c
1436ddd00a6
152036e1886
hex133df0e02

5165223426 has 96 divisors (see below), whose sum is σ = 12406395456. Its totient is φ = 1540080000.

The previous prime is 5165223391. The next prime is 5165223461. The reversal of 5165223426 is 6243225615.

5165223426 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 223 + 426 = 666.

It is an interprime number because it is at equal distance from previous prime (5165223391) and next prime (5165223461).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (86400) is a multiple of the sum of its prime factors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3618925 + ... + 3620351.

It is an arithmetic number, because the mean of its divisors is an integer number (129233286).

Almost surely, 25165223426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165223426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203197728).

5165223426 is an abundant number, since it is smaller than the sum of its proper divisors (7241172030).

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

5165223426 is a wasteful number, since it uses less digits than its factorization.

5165223426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1725 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5165223426 is about 71869.4888391451. The cubic root of 5165223426 is about 1728.6074112863.

It can be divided in two parts, 51652 and 23426, that added together give a triangular number (75078 = T387).

The spelling of 5165223426 in words is "five billion, one hundred sixty-five million, two hundred twenty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 181 198 202 303 362 543 606 909 1086 1111 1427 1629 1818 1991 2222 2854 3258 3333 3982 4281 5973 6666 8562 9999 11946 12843 15697 17919 18281 19998 25686 31394 35838 36562 47091 54843 94182 109686 141273 144127 164529 201091 258287 282546 288254 329058 402182 432381 516574 603273 774861 864762 1206546 1297143 1549722 1585397 1809819 2324583 2594286 2841157 3170794 3619638 4649166 4756191 5682314 8523471 9512382 14268573 17046942 25570413 26086987 28537146 51140826 52173974 78260961 156521922 234782883 286956857 469565766 573913714 860870571 1721741142 2582611713 5165223426