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10959145087 = 11223101127307
BaseRepresentation
bin10100011010011011…
…10100100001111111
31001021202120020211111
422031031310201333
5134421020120322
65011244302451
7535402124212
oct121515644177
931252506744
1010959145087
114714173a00
12215a241a27
131058621947
1475d6b7779
154421be177
hex28d37487f

10959145087 has 48 divisors (see below), whose sum is σ = 12835823616. Its totient is φ = 9330552000.

The previous prime is 10959145073. The next prime is 10959145117. The reversal of 10959145087 is 78054195901.

It is a de Polignac number, because none of the positive numbers 2k-10959145087 is a prime.

It is a super-2 number, since 2×109591450872 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10959145087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10959145787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35697388 + ... + 35697694.

It is an arithmetic number, because the mean of its divisors is an integer number (267412992).

Almost surely, 210959145087 is an apocalyptic number.

10959145087 is a deficient number, since it is larger than the sum of its proper divisors (1876678529).

10959145087 is a wasteful number, since it uses less digits than its factorization.

10959145087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

The spelling of 10959145087 in words is "ten billion, nine hundred fifty-nine million, one hundred forty-five thousand, eighty-seven".

Divisors: 1 11 23 101 121 127 253 307 1111 1397 2323 2783 2921 3377 7061 12221 12827 15367 25553 31007 32131 37147 38989 77671 141097 281083 295021 341077 353441 428879 713161 854381 896747 1552067 3245231 3751847 3937889 4717669 7844771 9864217 35697541 43316779 86292481 90571447 108506387 476484569 996285917 10959145087