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11443270032 = 243397273083
BaseRepresentation
bin10101010100001001…
…00111000110010000
31002112111112100102000
422222010213012100
5141413434120112
65131300554000
7553401122205
oct125204470620
932474470360
1011443270032
114942478167
1222743b2900
131104a08ccc
147a7ad9cac
1546e94d7dc
hex2aa127190

11443270032 has 80 divisors (see below), whose sum is σ = 33185167680. Its totient is φ = 3775085568.

The previous prime is 11443270031. The next prime is 11443270039. The reversal of 11443270032 is 23007234411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11443269978 and 11443270005.

It is not an unprimeable number, because it can be changed into a prime (11443270031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94638 + ... + 178445.

It is an arithmetic number, because the mean of its divisors is an integer number (414814596).

Almost surely, 211443270032 is an apocalyptic number.

11443270032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11443270032 is an abundant number, since it is smaller than the sum of its proper divisors (21741897648).

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

11443270032 is a wasteful number, since it uses less digits than its factorization.

11443270032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273197 (or 273185 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 11443270032 in words is "eleven billion, four hundred forty-three million, two hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 776 873 1164 1552 1746 2328 2619 3492 4656 5238 6984 10476 13968 20952 41904 273083 546166 819249 1092332 1638498 2184664 2457747 3276996 4369328 4915494 6553992 7373241 9830988 13107984 14746482 19661976 26489051 29492964 39323952 52978102 58985928 79467153 105956204 117971856 158934306 211912408 238401459 317868612 423824816 476802918 635737224 715204377 953605836 1271474448 1430408754 1907211672 2860817508 3814423344 5721635016 11443270032