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11446083968 = 271119427859
BaseRepresentation
bin10101010100011110…
…10110000110000000
31002112200211022101212
422222033112012000
5141420144141333
65131441145252
7553434052124
oct125217260600
932480738355
1011446083968
11494401a330
12227532b228
131105482a67
147a822d584
1546ed07448
hex2aa3d6180

11446083968 has 64 divisors (see below), whose sum is σ = 26185032000. Its totient is φ = 4928924160.

The previous prime is 11446083967. The next prime is 11446083989. The reversal of 11446083968 is 86938064411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446083967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187178 + ... + 240681.

It is an arithmetic number, because the mean of its divisors is an integer number (409141125).

Almost surely, 211446083968 is an apocalyptic number.

It is an amenable number.

11446083968 is an abundant number, since it is smaller than the sum of its proper divisors (14738948032).

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

11446083968 is a wasteful number, since it uses less digits than its factorization.

11446083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427903 (or 427891 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 11446083968 in words is "eleven billion, four hundred forty-six million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 6688 13376 26752 427859 855718 1711436 3422872 4706449 6845744 8129321 9412898 13691488 16258642 18825796 27382976 32517284 37651592 54765952 65034568 75303184 89422531 130069136 150606368 178845062 260138272 301212736 357690124 520276544 602425472 715380248 1040553088 1430760496 2861520992 5723041984 11446083968