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5755709484 = 22327211108247
BaseRepresentation
bin1010101110001000…
…10010100000101100
3112212010101100002100
411113010102200230
543241430200414
62351044455100
7262426503060
oct52704224054
915763340070
105755709484
112493a477a8
1211476aa490
137095a5075
143c85bbaa0
1523a480609
hex15711282c

5755709484 has 72 divisors (see below), whose sum is σ = 16706563328. Its totient is φ = 1636679520.

The previous prime is 5755709461. The next prime is 5755709521. The reversal of 5755709484 is 4849075575.

5755709484 is a `hidden beast` number, since 5 + 7 + 557 + 0 + 9 + 4 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5755709484.

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 23 ways as a sum of consecutive naturals, for example, 952 + ... + 107295.

Almost surely, 25755709484 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 5755709484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353281664).

5755709484 is an abundant number, since it is smaller than the sum of its proper divisors (10950853844).

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

5755709484 is a wasteful number, since it uses less digits than its factorization.

5755709484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108475 (or 108470 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The square root of 5755709484 is about 75866.3923222925. The cubic root of 5755709484 is about 1792.1167061501.

The spelling of 5755709484 in words is "five billion, seven hundred fifty-five million, seven hundred nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 13293 17724 26586 53172 108247 216494 324741 432988 649482 757729 974223 1298964 1515458 1948446 2273187 3030916 3896892 4546374 6819561 9092748 13639122 22840117 27278244 45680234 68520351 91360468 137040702 159880819 205561053 274081404 319761638 411122106 479642457 639523276 822244212 959284914 1438927371 1918569828 2877854742 5755709484