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3165665540 = 225172677809
BaseRepresentation
bin1011110010110000…
…0011100100000100
322011121202110201212
42330230003210010
522440402244130
61242043110552
7141306466412
oct27454034404
98147673655
103165665540
111384a32414
12744212458
133b5b0999b
1422060c2b2
15137db9e95
hexbcb03904

3165665540 has 72 divisors (see below), whose sum is σ = 7081126920. Its totient is φ = 1188548608.

The previous prime is 3165665537. The next prime is 3165665599. The reversal of 3165665540 is 455665613.

It can be written as a sum of positive squares in 12 ways, for example, as 484704256 + 2680961284 = 22016^2 + 51778^2 .

It is a super-2 number, since 2×31656655402 = 20042876622286983200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3912656 + ... + 3913464.

It is an arithmetic number, because the mean of its divisors is an integer number (98348985).

Almost surely, 23165665540 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 3165665540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540563460).

3165665540 is an abundant number, since it is smaller than the sum of its proper divisors (3915461380).

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

3165665540 is a wasteful number, since it uses less digits than its factorization.

3165665540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The square root of 3165665540 is about 56264.2474400929. The cubic root of 3165665540 is about 1468.3232520510.

The spelling of 3165665540 in words is "three billion, one hundred sixty-five million, six hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 677 809 1156 1354 1445 1618 2708 2890 3236 3385 4045 5780 6770 8090 11509 13540 13753 16180 23018 27506 46036 55012 57545 68765 115090 137530 195653 230180 233801 275060 391306 467602 547693 782612 935204 978265 1095386 1169005 1956530 2190772 2338010 2738465 3913060 4676020 5476930 9310781 10953860 18621562 37243124 46553905 93107810 158283277 186215620 316566554 633133108 791416385 1582832770 3165665540