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5345824608 = 25336839059
BaseRepresentation
bin1001111101010001…
…01100111101100000
3111210120010000202000
410332220230331200
541422012341413
62242243324000
7246321521325
oct47650547540
914716100660
105345824608
1122a3640173
121052380600
136726b2437
14389da2b4c
152144b8073
hex13ea2cf60

5345824608 has 96 divisors (see below), whose sum is σ = 15616540800. Its totient is φ = 1779136128.

The previous prime is 5345824571. The next prime is 5345824621. The reversal of 5345824608 is 8064285435.

5345824608 is a `hidden beast` number, since 5 + 3 + 4 + 582 + 4 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 585583 + ... + 594641.

It is an arithmetic number, because the mean of its divisors is an integer number (162672300).

Almost surely, 25345824608 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 5345824608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808270400).

5345824608 is an abundant number, since it is smaller than the sum of its proper divisors (10270716192).

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

5345824608 is a wasteful number, since it uses less digits than its factorization.

5345824608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5345824608 is about 73115.1462283978. The cubic root of 5345824608 is about 1748.5238826529.

The spelling of 5345824608 in words is "five billion, three hundred forty-five million, eight hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 683 864 1366 2049 2732 4098 5464 6147 8196 9059 10928 12294 16392 18118 18441 21856 24588 27177 32784 36236 36882 49176 54354 65568 72472 73764 81531 98352 108708 144944 147528 163062 196704 217416 244593 289888 295056 326124 434832 489186 590112 652248 869664 978372 1304496 1956744 2608992 3913488 6187297 7826976 12374594 18561891 24749188 37123782 49498376 55685673 74247564 98996752 111371346 148495128 167057019 197993504 222742692 296990256 334114038 445485384 593980512 668228076 890970768 1336456152 1781941536 2672912304 5345824608