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3113557504 = 2953179641
BaseRepresentation
bin1011100110010101…
…0001111000000000
322000222201002221121
42321211101320000
522334032320004
61232542202024
7140104542061
oct27145217000
98028632847
103113557504
111358581922
1272a883314
133a8093c25
14217726568
15133525854
hexb9951e00

3113557504 has 80 divisors (see below), whose sum is σ = 6383765520. Its totient is φ = 1516503040.

The previous prime is 3113557487. The next prime is 3113557523. The reversal of 3113557504 is 4057553113.

It is a self number, because there is not a number n which added to its sum of digits gives 3113557504.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4857024 + ... + 4857664.

It is an arithmetic number, because the mean of its divisors is an integer number (79797069).

Almost surely, 23113557504 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 3113557504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191882760).

3113557504 is an abundant number, since it is smaller than the sum of its proper divisors (3270208016).

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

3113557504 is an equidigital number, since it uses as much as digits as its factorization.

3113557504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 3113557504 is about 55799.2607836340. The cubic root of 3113557504 is about 1460.2222567751. Note that the first 4 decimals are identical.

The spelling of 3113557504 in words is "three billion, one hundred thirteen million, five hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 179 212 256 358 424 512 641 716 848 1282 1432 1696 2564 2864 3392 5128 5728 6784 9487 10256 11456 13568 18974 20512 22912 27136 33973 37948 41024 45824 67946 75896 82048 91648 114739 135892 151792 164096 229478 271784 303584 328192 458956 543568 607168 917912 1087136 1214336 1835824 2174272 2428672 3671648 4348544 4857344 6081167 7343296 8697088 12162334 14686592 17394176 24324668 29373184 48649336 58746368 97298672 194597344 389194688 778389376 1556778752 3113557504