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13561660544 = 276114911657
BaseRepresentation
bin11001010000101011…
…01000010010000000
31022000010122201212212
430220111220102000
5210233241114134
610121413241252
7660033132635
oct145025502200
938003581785
1013561660544
11582a227323
122765933228
131381865813
149291b218c
155458e9bce
hex328568480

13561660544 has 64 divisors (see below), whose sum is σ = 27646947000. Its totient is φ = 6624337920.

The previous prime is 13561660523. The next prime is 13561660547. The reversal of 13561660544 is 44506616531.

It can be written as a sum of positive squares in 4 ways, for example, as 6691240000 + 6870420544 = 81800^2 + 82888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13561660547) 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 7 ways as a sum of consecutive naturals, for example, 1157564 + ... + 1169220.

Almost surely, 213561660544 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 13561660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823473500).

13561660544 is an abundant number, since it is smaller than the sum of its proper divisors (14085286456).

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

13561660544 is a wasteful number, since it uses less digits than its factorization.

13561660544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 13561660544 in words is "thirteen billion, five hundred sixty-one million, six hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 149 244 298 488 596 976 1192 1952 2384 3904 4768 7808 9089 9536 11657 18178 19072 23314 36356 46628 72712 93256 145424 186512 290848 373024 581696 711077 746048 1163392 1422154 1492096 1736893 2844308 3473786 5688616 6947572 11377232 13895144 22754464 27790288 45508928 55580576 91017856 105950473 111161152 211900946 222322304 423801892 847603784 1695207568 3390415136 6780830272 13561660544