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5875220736 = 283372111983
BaseRepresentation
bin1010111100011000…
…01100000100000000
3120011110021010201000
411132030030010000
544013024030421
62410554212000
7265410360300
oct53614140400
916143233630
105875220736
112545455330
12117b724000
1372828a698
143da40b600
15245bdb226
hex15e30c100

5875220736 has 864 divisors, whose sum is σ = 23488012800. Its totient is φ = 1428295680.

The previous prime is 5875220707. The next prime is 5875220761. The reversal of 5875220736 is 6370225785.

5875220736 is a `hidden beast` number, since 58 + 7 + 522 + 0 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×58752207363 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5875220691 and 5875220700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70785751 + ... + 70785833.

It is an arithmetic number, because the mean of its divisors is an integer number (27185200).

Almost surely, 25875220736 is an apocalyptic number.

5875220736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5875220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744006400).

5875220736 is an abundant number, since it is smaller than the sum of its proper divisors (17612792064).

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

5875220736 is a wasteful number, since it uses less digits than its factorization.

5875220736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5875220736 is about 76649.9884931498. The cubic root of 5875220736 is about 1804.4356383064.

The spelling of 5875220736 in words is "five billion, eight hundred seventy-five million, two hundred twenty thousand, seven hundred thirty-six".