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10942145964 = 22322775631949
BaseRepresentation
bin10100011000011001…
…11110010110101100
31001020120120121102100
422030030332112230
5134402142132324
65005440055100
7535104464121
oct121414762654
931216517370
1010942145964
114705613242
122154604490
131054c4c3a9
1475b330748
154409624c9
hex28c33e5ac

10942145964 has 72 divisors (see below), whose sum is σ = 27822740400. Its totient is φ = 3625898112.

The previous prime is 10942145941. The next prime is 10942145987. The reversal of 10942145964 is 46954124901.

10942145964 is a `hidden beast` number, since 1 + 0 + 9 + 42 + 14 + 596 + 4 = 666.

10942145964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10942145941) and next prime (10942145987).

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 23 ways as a sum of consecutive naturals, for example, 5613262 + ... + 5615210.

It is an arithmetic number, because the mean of its divisors is an integer number (386426950).

Almost surely, 210942145964 is an apocalyptic number.

It is an amenable number.

10942145964 is an abundant number, since it is smaller than the sum of its proper divisors (16880594436).

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

10942145964 is a wasteful number, since it uses less digits than its factorization.

10942145964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10942145964 in words is "ten billion, nine hundred forty-two million, one hundred forty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 563 831 1108 1126 1662 1689 1949 2252 2493 3324 3378 3898 4986 5067 5847 6756 7796 9972 10134 11694 17541 20268 23388 35082 70164 155951 311902 467853 539873 623804 935706 1079746 1097287 1403559 1619619 1871412 2159492 2194574 2807118 3239238 3291861 4389148 4858857 5614236 6478476 6583722 9717714 9875583 13167444 19435428 19751166 39502332 303948499 607896998 911845497 1215793996 1823690994 2735536491 3647381988 5471072982 10942145964