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5601165560 = 23529311091429
BaseRepresentation
bin1010011011101101…
…10000000011111000
3112110100120200200022
411031312300003320
542432344244220
62323444230012
7255542056514
oct51566600370
915410520608
105601165560
112414791651
12110399b308
136b3574b63
143b1c6d144
1522bb04925
hex14ddb00f8

5601165560 has 128 divisors (see below), whose sum is σ = 13590720000. Its totient is φ = 2072770560.

The previous prime is 5601165547. The next prime is 5601165569. The reversal of 5601165560 is 655611065.

It is a super-2 number, since 2×56011655602 = 62746111261060227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5601165560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601165569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918926 + ... + 3920354.

It is an arithmetic number, because the mean of its divisors is an integer number (106177500).

Almost surely, 25601165560 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 5601165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795360000).

5601165560 is an abundant number, since it is smaller than the sum of its proper divisors (7989554440).

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

5601165560 is a wasteful number, since it uses less digits than its factorization.

5601165560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 5601165560 is about 74840.9350556231. The cubic root of 5601165560 is about 1775.9311979610.

The spelling of 5601165560 in words is "five billion, six hundred one million, one hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 109 116 124 145 155 218 232 248 290 310 436 545 580 620 872 899 1090 1160 1240 1429 1798 2180 2858 3161 3379 3596 4360 4495 5716 6322 6758 7145 7192 8990 11432 12644 13516 14290 15805 16895 17980 25288 27032 28580 31610 33790 35960 41441 44299 57160 63220 67580 82882 88598 97991 126440 135160 155761 165764 177196 195982 207205 221495 311522 331528 354392 391964 414410 442990 489955 623044 778805 783928 828820 885980 979910 1246088 1284671 1557610 1657640 1771960 1959820 2569342 3115220 3919640 4517069 4828591 5138684 6230440 6423355 9034138 9657182 10277368 12846710 18068276 19314364 22585345 24142955 25693420 36136552 38628728 45170690 48285910 51386840 90341380 96571820 140029139 180682760 193143640 280058278 560116556 700145695 1120233112 1400291390 2800582780 5601165560