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5655056660 = 22511101307829
BaseRepresentation
bin1010100010001000…
…10101000100010100
3112121002222122100222
411101010111010110
543040143303120
62333051253512
7260065121441
oct52104250424
915532878328
105655056660
11244214a850
121119a4a298
136c1793396
143b909a9c8
152316ec525
hex151115114

5655056660 has 96 divisors (see below), whose sum is σ = 13141941120. Its totient is φ = 2026944000.

The previous prime is 5655056629. The next prime is 5655056683. The reversal of 5655056660 is 666505565.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6821126 + ... + 6821954.

It is an arithmetic number, because the mean of its divisors is an integer number (136895220).

Almost surely, 25655056660 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 5655056660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570970560).

5655056660 is an abundant number, since it is smaller than the sum of its proper divisors (7486884460).

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

5655056660 is a wasteful number, since it uses less digits than its factorization.

5655056660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The square root of 5655056660 is about 75200.1107711950. The cubic root of 5655056660 is about 1781.6086812155.

The spelling of 5655056660 in words is "five billion, six hundred fifty-five million, fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 307 404 505 614 829 1010 1111 1228 1535 1658 2020 2222 3070 3316 3377 4145 4444 5555 6140 6754 8290 9119 11110 13508 16580 16885 18238 22220 31007 33770 36476 45595 62014 67540 83729 91190 124028 155035 167458 182380 254503 310070 334916 341077 418645 509006 620140 682154 837290 921019 1018012 1272515 1364308 1674580 1705385 1842038 2545030 2799533 3410770 3684076 4605095 5090060 5599066 6821540 9210190 11198132 13997665 18420380 25704803 27995330 51409606 55990660 102819212 128524015 257048030 282752833 514096060 565505666 1131011332 1413764165 2827528330 5655056660