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5530418923392 = 27341131109113127
BaseRepresentation
bin101000001111010011010…
…1001111100011110000000
3201120200222101220020220000
41100132212221330132000
51211102244221022032
615432350034520000
71110362636135406
oct120364651743600
921520871806800
105530418923392
11184248a339370
127539ba136000
13311693312a9c
14151960903476
1598cd3b2de7c
hex507a6a7c780

5530418923392 has 1280 divisors, whose sum is σ = 19017975398400. Its totient is φ = 1580182732800.

The previous prime is 5530418923231. The next prime is 5530418923397. The reversal of 5530418923392 is 2933298140355.

5530418923392 is a `hidden beast` number, since 5 + 5 + 304 + 18 + 9 + 233 + 92 = 666.

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 (5530418923397) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43546605633 + ... + 43546605759.

It is an arithmetic number, because the mean of its divisors is an integer number (14857793280).

Almost surely, 25530418923392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5530418923392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508987699200).

5530418923392 is an abundant number, since it is smaller than the sum of its proper divisors (13487556475008).

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

5530418923392 is a wasteful number, since it uses less digits than its factorization.

5530418923392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5530418923392 in words is "five trillion, five hundred thirty billion, four hundred eighteen million, nine hundred twenty-three thousand, three hundred ninety-two".