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11353216644 = 22327114095677
BaseRepresentation
bin10101001001011010…
…00101011010000100
31002022020002011101100
422210231011122010
5141222410413034
65114322500100
7551225514660
oct124455053204
932266064340
1011353216644
1148a665a780
12224a204630
1310bc168993
14799b778a0
15466ab1099
hex2a4b45684

11353216644 has 72 divisors (see below), whose sum is σ = 35779843008. Its totient is φ = 2948886720.

The previous prime is 11353216627. The next prime is 11353216657. The reversal of 11353216644 is 44661235311.

11353216644 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 2 + 1 + 6 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11353216599 and 11353216608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2045067 + ... + 2050610.

It is an arithmetic number, because the mean of its divisors is an integer number (496942264).

Almost surely, 211353216644 is an apocalyptic number.

11353216644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11353216644 is an abundant number, since it is smaller than the sum of its proper divisors (24426626364).

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

11353216644 is a wasteful number, since it uses less digits than its factorization.

11353216644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095705 (or 4095700 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 11353216644 in words is "eleven billion, three hundred fifty-three million, two hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 4095677 8191354 12287031 16382708 24574062 28669739 36861093 45052447 49148124 57339478 73722186 86009217 90104894 114678956 135157341 147444372 172018434 180209788 258027651 270314682 315367129 344036868 405472023 516055302 540629364 630734258 810944046 946101387 1032110604 1261468516 1621888092 1892202774 2838304161 3784405548 5676608322 11353216644