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10011172644 = 2234112255361
BaseRepresentation
bin10010101001011011…
…00101111100100100
3221211200210021010000
421110231211330210
5131000330011034
64333222101300
7503041364154
oct112455457444
927750707100
1010011172644
114278056200
121b3487a830
13c370cc9c5
146ad830764
153d8d68599
hex254b65f24

10011172644 has 90 divisors (see below), whose sum is σ = 28766784662. Its totient is φ = 3033676800.

The previous prime is 10011172607. The next prime is 10011172649. The reversal of 10011172644 is 44627111001.

10011172644 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 17 + 2 + 644 = 666.

10011172644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 3095587044 = 83160^2 + 55638^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10011172649) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 88477 + ... + 166884.

Almost surely, 210011172644 is an apocalyptic number.

It is an amenable number.

10011172644 is an abundant number, since it is smaller than the sum of its proper divisors (18755612018).

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

10011172644 is a wasteful number, since it uses less digits than its factorization.

10011172644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255399 (or 255377 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10011172644 its reverse (44627111001), we get a palindrome (54638283645).

The spelling of 10011172644 in words is "ten billion, eleven million, one hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 39204 255361 510722 766083 1021444 1532166 2298249 2808971 3064332 4596498 5617942 6894747 8426913 9192996 11235884 13789494 16853826 20684241 25280739 27578988 30898681 33707652 41368482 50561478 61797362 75842217 82736964 92696043 101122956 123594724 151684434 185392086 227526651 278088129 303368868 370784172 455053302 556176258 834264387 910106604 1112352516 1668528774 2502793161 3337057548 5005586322 10011172644