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5756133348 = 2233719313943
BaseRepresentation
bin1010101110001011…
…11001111111100100
3112212011011212112000
411113011321333210
543242032231343
62351101525300
7262433216610
oct52705717744
915764155460
105756133348
1124942071a9
121147873830
137096c2c84
143c868c340
1523a515ed3
hex157179fe4

5756133348 has 96 divisors (see below), whose sum is σ = 17068369920. Its totient is φ = 1643340960.

The previous prime is 5756133323. The next prime is 5756133359. The reversal of 5756133348 is 8433316575.

5756133348 is a `hidden beast` number, since 57 + 561 + 3 + 3 + 34 + 8 = 666.

It is a super-2 number, since 2×57561333482 = 66266142239915378208, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457865 + ... + 1461807.

It is an arithmetic number, because the mean of its divisors is an integer number (177795520).

Almost surely, 25756133348 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 5756133348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534184960).

5756133348 is an abundant number, since it is smaller than the sum of its proper divisors (11312236572).

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

5756133348 is a wasteful number, since it uses less digits than its factorization.

5756133348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5886 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 5756133348 is about 75869.1857607553. The cubic root of 5756133348 is about 1792.1606969684.

It can be divided in two parts, 57561 and 33348, that added together give a palindrome (90909).

The spelling of 5756133348 in words is "five billion, seven hundred fifty-six million, one hundred thirty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1931 3862 3943 5793 7724 7886 11586 11829 13517 15772 17379 23172 23658 27034 27601 34758 35487 40551 47316 52137 54068 55202 69516 70974 81102 82803 104274 106461 110404 121653 141948 162204 165606 208548 212922 243306 248409 331212 364959 425844 486612 496818 729918 745227 993636 1459836 1490454 2980908 7613933 15227866 22841799 30455732 45683598 53297531 68525397 91367196 106595062 137050794 159892593 205576191 213190124 274101588 319785186 411152382 479677779 639570372 822304764 959355558 1439033337 1918711116 2878066674 5756133348