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11553213321637 = 135979190669109
BaseRepresentation
bin1010100000011111000100…
…1011010001000110100101
31111220110212022010012210021
42220013301023101012211
53003241440102243022
640323250052555141
72301456252631261
oct250076113210645
944813768105707
1011553213321637
113754765801579
12136710b922ab1
1365a603c65aa0
142bd26db810a1
151507d3d127c7
hexa81f12d11a5

11553213321637 has 16 divisors (see below), whose sum is σ = 12812964192000. Its totient is φ = 10351044535104.

The previous prime is 11553213321623. The next prime is 11553213321667. The reversal of 11553213321637 is 73612331235511.

It is not a de Polignac number, because 11553213321637 - 219 = 11553212797349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11553213321593 and 11553213321602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553213321667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95273962 + ... + 95395147.

It is an arithmetic number, because the mean of its divisors is an integer number (800810262000).

Almost surely, 211553213321637 is an apocalyptic number.

It is an amenable number.

11553213321637 is a deficient number, since it is larger than the sum of its proper divisors (1259750870363).

11553213321637 is a wasteful number, since it uses less digits than its factorization.

11553213321637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190669260.

The product of its digits is 340200, while the sum is 43.

The spelling of 11553213321637 in words is "eleven trillion, five hundred fifty-three billion, two hundred thirteen million, three hundred twenty-one thousand, six hundred thirty-seven".

Divisors: 1 13 59 79 767 1027 4661 60593 190669109 2478698417 11249477431 15062859611 146243206603 195817174943 888708717049 11553213321637