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5155764642 = 2337131104119
BaseRepresentation
bin1001100110100111…
…01011100110100010
3111022022110222111000
410303103223212202
541024333432032
62211333532430
7241523163540
oct46323534642
914268428430
105155764642
112206327316
12bba7a4116
136421c8612
1436ca4ad90
15202973e7c
hex1334eb9a2

5155764642 has 64 divisors (see below), whose sum is σ = 13194086400. Its totient is φ = 1461816720.

The previous prime is 5155764631. The next prime is 5155764671. The reversal of 5155764642 is 2464675515.

5155764642 is a `hidden beast` number, since 5 + 15 + 576 + 4 + 64 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2542 + ... + 101577.

It is an arithmetic number, because the mean of its divisors is an integer number (206157600).

Almost surely, 25155764642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5155764642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597043200).

5155764642 is an abundant number, since it is smaller than the sum of its proper divisors (8038321758).

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

5155764642 is a wasteful number, since it uses less digits than its factorization.

5155764642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104268 (or 104262 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 5155764642 is about 71803.6534028736. The cubic root of 5155764642 is about 1727.5515992694.

The spelling of 5155764642 in words is "five billion, one hundred fifty-five million, seven hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 378 393 786 917 1179 1834 2358 2751 3537 5502 7074 8253 16506 24759 49518 104119 208238 312357 624714 728833 937071 1457666 1874142 2186499 2811213 4372998 5622426 6559497 13118994 13639589 19678491 27279178 39356982 40918767 81837534 95477123 122756301 190954246 245512602 286431369 368268903 572862738 736537806 859294107 1718588214 2577882321 5155764642