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11013362059392 = 273472112179161
BaseRepresentation
bin1010000001000011111110…
…0010001000100010000000
31102222212102010201121220000
42200100333202020202000
52420420331141400032
635231245122520000
72214455243622600
oct240207742104200
942885363647800
1011013362059392
113566816845a00
12129a568806000
1361b72b811c84
142a109a02ac00
151417397c7e7c
hexa043f888880

11013362059392 has 720 divisors, whose sum is σ = 41908097849310. Its totient is φ = 2860597555200.

The previous prime is 11013362059331. The next prime is 11013362059409. The reversal of 11013362059392 is 29395026331011.

11013362059392 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 36 + 20 + 593 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7052083891776 + 3961278167616 = 2655576^2 + 1990296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61382292 + ... + 61561452.

Almost surely, 211013362059392 is an apocalyptic number.

11013362059392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013362059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954048924655).

11013362059392 is an abundant number, since it is smaller than the sum of its proper divisors (30894735789918).

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

11013362059392 is a wasteful number, since it uses less digits than its factorization.

11013362059392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179223 (or 179184 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 11013362059392 in words is "eleven trillion, thirteen billion, three hundred sixty-two million, fifty-nine thousand, three hundred ninety-two".