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11037006468 = 2232306583513
BaseRepresentation
bin10100100011101101…
…10101101010000100
31001111012002000120100
422101312311222010
5140100433201333
65023105204100
7540336002265
oct122166655204
931435060510
1011037006468
114754114354
122180330630
13106b7b3777
14769b8496c
15448e4e213
hex291db5a84

11037006468 has 18 divisors (see below), whose sum is σ = 27899099774. Its totient is φ = 3679002144.

The previous prime is 11037006329. The next prime is 11037006493. The reversal of 11037006468 is 86460073011.

11037006468 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 7 + 0 + 0 + 646 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5850414144 + 5186592324 = 76488^2 + 72018^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 306583513 = 11037006468 / (1 + 1 + 0 + 3 + 7 + 0 + 0 + 6 + 4 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153291721 + ... + 153291792.

Almost surely, 211037006468 is an apocalyptic number.

11037006468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11037006468 is an abundant number, since it is smaller than the sum of its proper divisors (16862093306).

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

11037006468 is a wasteful number, since it uses less digits than its factorization.

11037006468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306583523 (or 306583518 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 11037006468 its reverse (86460073011), we get a palindrome (97497079479).

The spelling of 11037006468 in words is "eleven billion, thirty-seven million, six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 306583513 613167026 919750539 1226334052 1839501078 2759251617 3679002156 5518503234 11037006468