Search a number
-
+
57812902555104 = 2533731974652881
BaseRepresentation
bin11010010010100100111011…
…00001010010110111100000
321120200212012120200200201000
431021102131201102313200
530034201311023230404
6322542514125512000
715114562422410154
oct1511223541226740
9246625176620630
1057812902555104
111746a350349804
126598640112600
13263496c13c158
14103c233607064
156a3ca6255339
hex34949d852de0

57812902555104 has 192 divisors, whose sum is σ = 171798548201280. Its totient is φ = 18910495457280.

The previous prime is 57812902555103. The next prime is 57812902555117. The reversal of 57812902555104 is 40155520921875.

It is a happy number.

57812902555104 is a `hidden beast` number, since 5 + 7 + 8 + 12 + 90 + 25 + 5 + 510 + 4 = 666.

It is a super-2 number, since 2×578129025551042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57812902555103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10098744 + ... + 14751624.

It is an arithmetic number, because the mean of its divisors is an integer number (894784105215).

Almost surely, 257812902555104 is an apocalyptic number.

57812902555104 is a gapful number since it is divisible by the number (54) 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 57812902555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85899274100640).

57812902555104 is an abundant number, since it is smaller than the sum of its proper divisors (113985645646176).

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

57812902555104 is a wasteful number, since it uses less digits than its factorization.

57812902555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653170 (or 4653156 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 57812902555104 in words is "fifty-seven trillion, eight hundred twelve billion, nine hundred two million, five hundred fifty-five thousand, one hundred four".