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10661116644 = 223561179807
BaseRepresentation
bin10011110110111001…
…11011101011100100
31000111222202211200000
421323130323223210
5133313221213034
64521520421300
7525122665503
oct117334735344
930458684600
1010661116644
114580a16802
122096477830
13100b964359
14731c9883a
15425e4e599
hex27b73bae4

10661116644 has 72 divisors (see below), whose sum is σ = 28405348608. Its totient is φ = 3495428640.

The previous prime is 10661116637. The next prime is 10661116649. The reversal of 10661116644 is 44661116601.

10661116644 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 1 + 1 + 6 + 644 = 666.

It is a super-2 number, since 2×106611166442 (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 junction number, because it is equal to n+sod(n) for n = 10661116599 and 10661116608.

It is not an unprimeable number, because it can be changed into a prime (10661116649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30612 + ... + 149195.

Almost surely, 210661116644 is an apocalyptic number.

It is an amenable number.

10661116644 is an abundant number, since it is smaller than the sum of its proper divisors (17744231964).

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

10661116644 is a wasteful number, since it uses less digits than its factorization.

10661116644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179887 (or 179873 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10661116644 in words is "ten billion, six hundred sixty-one million, one hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 972 1098 1647 2196 3294 4941 6588 9882 14823 19764 29646 59292 179807 359614 539421 719228 1078842 1618263 2157684 3236526 4854789 6473052 9709578 10968227 14564367 19419156 21936454 29128734 32904681 43693101 43872908 58257468 65809362 87386202 98714043 131618724 174772404 197428086 296142129 394856172 592284258 888426387 1184568516 1776852774 2665279161 3553705548 5330558322 10661116644