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6560155056 = 2437133740591
BaseRepresentation
bin1100001110000010…
…00000010110110000
3121221012002101221210
412013001000112300
5101413344430211
63002542520120
7321365253330
oct60701002660
917835071853
106560155056
112867044654
121330b96040
13807153570
144633830c0
15285dd49a6
hex1870405b0

6560155056 has 160 divisors (see below), whose sum is σ = 21422184448. Its totient is φ = 1683348480.

The previous prime is 6560155051. The next prime is 6560155057. The reversal of 6560155056 is 6505510656.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6560155051) by changing a digit.

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, 141321 + ... + 181911.

Almost surely, 26560155056 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 6560155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711092224).

6560155056 is an abundant number, since it is smaller than the sum of its proper divisors (14862029392).

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

6560155056 is a wasteful number, since it uses less digits than its factorization.

6560155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40659 (or 40653 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 6560155056 is about 80994.7841283622. The cubic root of 6560155056 is about 1871.9950735863.

The spelling of 6560155056 in words is "six billion, five hundred sixty million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1443 1456 1554 1776 1924 2072 2184 2886 3108 3367 3848 4144 4368 5772 6216 6734 7696 10101 11544 12432 13468 20202 23088 26936 40404 40591 53872 80808 81182 121773 161616 162364 243546 284137 324728 487092 527683 568274 649456 852411 974184 1055366 1136548 1501867 1583049 1704822 1948368 2110732 2273096 3003734 3166098 3409644 3693781 4221464 4505601 4546192 6007468 6332196 6819288 7387562 8442928 9011202 10513069 11081343 12014936 12664392 13638576 14775124 18022404 19524271 21026138 22162686 24029872 25328784 29550248 31539207 36044808 39048542 42052276 44325372 58572813 59100496 63078414 72089616 78097084 84104552 88650744 117145626 126156828 136669897 156194168 168209104 177301488 234291252 252313656 273339794 312388336 410009691 468582504 504627312 546679588 820019382 937165008 1093359176 1640038764 2186718352 3280077528 6560155056