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11337057937060 = 2253209176644717
BaseRepresentation
bin1010010011111001110101…
…0011111010011010100100
31111010210221001121221220221
42210332131103322122210
52441221243312441220
640040101132534124
72250034602316552
oct244763523723244
944123831557827
1011337057937060
113681023715879
121331245921344
1364310692796b
142b2a06240bd2
15149d824029aa
hexa4f9d4fa6a4

11337057937060 has 24 divisors (see below), whose sum is σ = 23815240880760. Its totient is φ = 4533409991424.

The previous prime is 11337057937057. The next prime is 11337057937069. The reversal of 11337057937060 is 6073975073311.

It can be written as a sum of positive squares in 4 ways, for example, as 868105885284 + 10468952051776 = 931722^2 + 3235576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11337057936989 and 11337057937007.

It is not an unprimeable number, because it can be changed into a prime (11337057937069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88258179 + ... + 88386538.

It is an arithmetic number, because the mean of its divisors is an integer number (992301703365).

Almost surely, 211337057937060 is an apocalyptic number.

11337057937060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11337057937060 is an abundant number, since it is smaller than the sum of its proper divisors (12478182943700).

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

11337057937060 is a wasteful number, since it uses less digits than its factorization.

11337057937060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176647935 (or 176647933 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 52.

The spelling of 11337057937060 in words is "eleven trillion, three hundred thirty-seven billion, fifty-seven million, nine hundred thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 3209 6418 12836 16045 32090 64180 176644717 353289434 706578868 883223585 1766447170 3532894340 566852896853 1133705793706 2267411587412 2834264484265 5668528968530 11337057937060