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11272346020 = 22513241179897
BaseRepresentation
bin10100111111110001…
…00101100110100100
31002002120220111202001
422133320211212210
5141041210033040
65102313255044
7546224234365
oct123770454644
932076814661
1011272346020
114864a44451
122227104484
1310a8492240
1478d125b6c
1545e93959a
hex29fe259a4

11272346020 has 48 divisors (see below), whose sum is σ = 25598765808. Its totient is φ = 4144803840.

The previous prime is 11272346017. The next prime is 11272346053. The reversal of 11272346020 is 2064327211.

It can be written as a sum of positive squares in 8 ways, for example, as 598976676 + 10673369344 = 24474^2 + 103312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11272346020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27289 + ... + 152608.

It is an arithmetic number, because the mean of its divisors is an integer number (533307621).

Almost surely, 211272346020 is an apocalyptic number.

11272346020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11272346020 is an abundant number, since it is smaller than the sum of its proper divisors (14326419788).

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

11272346020 is a wasteful number, since it uses less digits than its factorization.

11272346020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180160 (or 180158 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 11272346020 in words is "eleven billion, two hundred seventy-two million, three hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2410 3133 4820 6266 12532 15665 31330 62660 179897 359794 719588 899485 1798970 2338661 3597940 4677322 9354644 11693305 23386610 43355177 46773220 86710354 173420708 216775885 433551770 563617301 867103540 1127234602 2254469204 2818086505 5636173010 11272346020