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11557383006813 = 371741316112333
BaseRepresentation
bin1010100000101110100110…
…1101010110101001011101
31111220212121220010011112120
42220023221231112221131
53003324010022204223
640325215523453153
72301664503442650
oct250135155265135
944825556104476
1011557383006813
113756505452786
121367a942271b9
1365ab19a89417
142bd547865897
15150979e04be3
hexa82e9b56a5d

11557383006813 has 16 divisors (see below), whose sum is σ = 17621365946496. Its totient is φ = 6600425492160.

The previous prime is 11557383006781. The next prime is 11557383006913. The reversal of 11557383006813 is 31860038375511.

It is a happy number.

It is not a de Polignac number, because 11557383006813 - 25 = 11557383006781 is a prime.

It is a super-3 number, since 3×115573830068133 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557383006913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158019606 + ... + 158092727.

It is an arithmetic number, because the mean of its divisors is an integer number (1101335371656).

Almost surely, 211557383006813 is an apocalyptic number.

It is an amenable number.

11557383006813 is a deficient number, since it is larger than the sum of its proper divisors (6063982939683).

11557383006813 is a wasteful number, since it uses less digits than its factorization.

11557383006813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316114084.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 11557383006813 in words is "eleven trillion, five hundred fifty-seven billion, three hundred eighty-three million, six thousand, eight hundred thirteen".

Divisors: 1 3 7 21 1741 5223 12187 36561 316112333 948336999 2212786331 6638358993 550351571753 1651054715259 3852461002271 11557383006813