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41370544135764 = 22322017756955037
BaseRepresentation
bin10010110100000010101001…
…00101100101111001010100
312102110222121100111212100200
421122001110211211321110
520410303333244321024
6223553210545340500
711466631436013414
oct1132012445457124
9172428540455320
1041370544135764
1112200170700608
124781a7b637730
131a112c177576c
14a304b8a40644
154bb221dd82c9
hex25a054965e54

41370544135764 has 36 divisors (see below), whose sum is σ = 104580726865524. Its totient is φ = 13789497676032.

The previous prime is 41370544135759. The next prime is 41370544135771. The reversal of 41370544135764 is 46753144507314.

41370544135764 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 0 + 54 + 4 + 13 + 576 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23387940587664 + 17982603548100 = 4836108^2 + 4240590^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41370544135764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27751147 + ... + 29203890.

It is an arithmetic number, because the mean of its divisors is an integer number (2905020190709).

Almost surely, 241370544135764 is an apocalyptic number.

It is an amenable number.

41370544135764 is an abundant number, since it is smaller than the sum of its proper divisors (63210182729760).

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

41370544135764 is a wasteful number, since it uses less digits than its factorization.

41370544135764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56975224 (or 56975219 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 41370544135764 in words is "forty-one trillion, three hundred seventy billion, five hundred forty-four million, one hundred thirty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 20177 40354 60531 80708 121062 181593 242124 363186 726372 56955037 113910074 170865111 227820148 341730222 512595333 683460444 1025190666 2050381332 1149181781549 2298363563098 3447545344647 4596727126196 6895090689294 10342636033941 13790181378588 20685272067882 41370544135764