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2640461652 = 223415235351
BaseRepresentation
bin1001110101100010…
…0011111101010100
320211000111100110000
42131120203331110
520401424233102
61114002131300
7122301360633
oct23530437524
96730440400
102640461652
111135520a14
12618350b30
1333106b95a
141b097551a
15106c2401c
hex9d623f54

2640461652 has 60 divisors (see below), whose sum is σ = 6908511456. Its totient is φ = 879411600.

The previous prime is 2640461587. The next prime is 2640461657. The reversal of 2640461652 is 2561640462.

2640461652 is a `hidden beast` number, since 2 + 640 + 4 + 6 + 1 + 6 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640461657) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 490777 + ... + 496127.

Almost surely, 22640461652 is an apocalyptic number.

It is an amenable number.

2640461652 is an abundant number, since it is smaller than the sum of its proper divisors (4268049804).

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

2640461652 is a wasteful number, since it uses less digits than its factorization.

2640461652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2640461652 is about 51385.4225632134. The cubic root of 2640461652 is about 1382.1652021832.

The spelling of 2640461652 in words is "two billion, six hundred forty million, four hundred sixty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1523 3046 4569 5351 6092 9138 10702 13707 16053 18276 21404 27414 32106 41121 48159 54828 64212 82242 96318 123363 144477 164484 192636 246726 288954 433431 493452 577908 866862 1733724 8149573 16299146 24448719 32598292 48897438 73346157 97794876 146692314 220038471 293384628 440076942 660115413 880153884 1320230826 2640461652