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7480964475 = 3252238391723
BaseRepresentation
bin1101111011110011…
…00111010101111011
3201022100202101000100
412331321213111323
5110310111330400
63234155010443
7353246102025
oct67571472573
921270671010
107480964475
11319989a376
121549439a23
13922b548ca
1450d799015
152dbb72100
hex1bde6757b

7480964475 has 72 divisors (see below), whose sum is σ = 14006603520. Its totient is φ = 3809615040.

The previous prime is 7480964471. The next prime is 7480964489. The reversal of 7480964475 is 5744690847.

7480964475 is a `hidden beast` number, since 7 + 4 + 80 + 96 + 4 + 475 = 666.

It is not a de Polignac number, because 7480964475 - 22 = 7480964471 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7480964471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4340964 + ... + 4342686.

It is an arithmetic number, because the mean of its divisors is an integer number (194536160).

Almost surely, 27480964475 is an apocalyptic number.

7480964475 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7480964475 is a deficient number, since it is larger than the sum of its proper divisors (6525639045).

7480964475 is a wasteful number, since it uses less digits than its factorization.

7480964475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7480964475 is about 86492.5689004553. The cubic root of 7480964475 is about 1955.7763828759.

The spelling of 7480964475 in words is "seven billion, four hundred eighty million, nine hundred sixty-four thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 839 1035 1723 1725 2517 4195 5169 5175 7551 8615 12585 15507 19297 20975 25845 37755 39629 43075 57891 62925 77535 96485 118887 129225 173673 188775 198145 289455 356661 387675 482425 594435 868365 990725 1445597 1447275 1783305 2972175 4336791 4341825 7227985 8916525 13010373 21683955 33248731 36139925 65051865 99746193 108419775 166243655 299238579 325259325 498730965 831218275 1496192895 2493654825 7480964475