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5006694564 = 223439312
BaseRepresentation
bin1001010100110110…
…00001100010100100
3110220220222102210000
410222123001202210
540223203211224
62144450501300
7235033126104
oct45233014244
913826872700
105006694564
11213a16a803
12b78894830
1361a363a81
14356d25204
151e482a0c9
hex12a6c18a4

5006694564 has 45 divisors (see below), whose sum is σ = 13091818971. Its totient is φ = 1668473640.

The previous prime is 5006694559. The next prime is 5006694571. The reversal of 5006694564 is 4654966005.

The square root of 5006694564 is 70758.

It is a perfect power (a square), and thus also a powerful number.

5006694564 is a `hidden beast` number, since 500 + 6 + 6 + 94 + 56 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1271679 + ... + 1275609.

Almost surely, 25006694564 is an apocalyptic number.

5006694564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5006694564 is the 70758-th square number.

It is an amenable number.

5006694564 is an abundant number, since it is smaller than the sum of its proper divisors (8085124407).

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

5006694564 is an frugal number, since it uses more digits than its factorization.

5006694564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The cubic root of 5006694564 is about 1710.7387758849.

The spelling of 5006694564 in words is "five billion, six million, six hundred ninety-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3931 7862 11793 15724 23586 35379 47172 70758 106137 141516 212274 318411 424548 636822 1273644 15452761 30905522 46358283 61811044 92716566 139074849 185433132 278149698 417224547 556299396 834449094 1251673641 1668898188 2503347282 5006694564