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10561560156 = 2232728776827
BaseRepresentation
bin10011101011000010…
…01001111001011100
31000021001102211211200
421311201021321130
5133112224411111
64504002515500
7522503531400
oct116541117134
930231384750
1010561560156
11452a7a8514
122069065b90
13cc41476a4
14722981100
1541c336256
hex275849e5c

10561560156 has 108 divisors (see below), whose sum is σ = 31095982008. Its totient is φ = 3013706304.

The previous prime is 10561560137. The next prime is 10561560169. The reversal of 10561560156 is 65106516501.

10561560156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105615601562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10561560156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1543615 + ... + 1550441.

Almost surely, 210561560156 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 10561560156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547991004).

10561560156 is an abundant number, since it is smaller than the sum of its proper divisors (20534421852).

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

10561560156 is a wasteful number, since it uses less digits than its factorization.

10561560156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10561560156 in words is "ten billion, five hundred sixty-one million, five hundred sixty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 877 882 1754 1764 2631 3508 5262 6139 6827 7893 10524 12278 13654 15786 18417 20481 24556 27308 31572 36834 40962 42973 47789 55251 61443 73668 81924 85946 95578 110502 122886 128919 143367 171892 191156 221004 245772 257838 286734 334523 386757 430101 515676 573468 669046 773514 860202 1003569 1338092 1547028 1720404 2007138 3010707 4014276 5987279 6021414 11974558 12042828 17961837 23949116 35923674 41910953 53885511 71847348 83821906 107771022 125732859 167643812 215542044 251465718 293376671 377198577 502931436 586753342 754397154 880130013 1173506684 1508794308 1760260026 2640390039 3520520052 5280780078 10561560156