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11315388816 = 243278579089
BaseRepresentation
bin10101000100111001…
…10010000110010000
31002012120220022100200
422202130302012100
5141133214420231
65110452015200
7550256134524
oct124234620620
932176808320
1011315388816
114887273106
122239601500
1310b4382a54
14794b2bd84
154635dcbe6
hex2a2732190

11315388816 has 30 divisors (see below), whose sum is σ = 31667373270. Its totient is φ = 3771796224.

The previous prime is 11315388793. The next prime is 11315388817. The reversal of 11315388816 is 61888351311.

11315388816 is a `hidden beast` number, since 1 + 1 + 31 + 538 + 8 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10692387216 + 623001600 = 103404^2 + 24960^2 .

It is not an unprimeable number, because it can be changed into a prime (11315388817) 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 5 ways as a sum of consecutive naturals, for example, 39289401 + ... + 39289688.

It is an arithmetic number, because the mean of its divisors is an integer number (1055579109).

Almost surely, 211315388816 is an apocalyptic number.

11315388816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11315388816 is an abundant number, since it is smaller than the sum of its proper divisors (20351984454).

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

11315388816 is a wasteful number, since it uses less digits than its factorization.

11315388816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78579103 (or 78579094 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 11315388816 in words is "eleven billion, three hundred fifteen million, three hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 78579089 157158178 235737267 314316356 471474534 628632712 707211801 942949068 1257265424 1414423602 1885898136 2828847204 3771796272 5657694408 11315388816