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41485522256640 = 283457311231311
BaseRepresentation
bin10010110111011000110011…
…10100010100001100000000
312102212222101101010120210000
421123230121310110030000
520414144322144203030
6224122104045440000
711511141625635000
oct1133543164241400
9172788341116700
1041485522256640
1112244a02874600
1247a0209570000
131a1c0b6410707
14a35ca502c000
154be201064860
hex25bb19d14300

41485522256640 has 4320 divisors, whose sum is σ = 197048768716800. Its totient is φ = 8315467776000.

The previous prime is 41485522256627. The next prime is 41485522256663. The reversal of 41485522256640 is 4665222558414.

41485522256640 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 5 + 52 + 22 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 133393962085 + ... + 133393962395.

Almost surely, 241485522256640 is an apocalyptic number.

41485522256640 is a gapful number since it is divisible by the number (40) 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 41485522256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98524384358400).

41485522256640 is an abundant number, since it is smaller than the sum of its proper divisors (155563246460160).

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

41485522256640 is a wasteful number, since it uses less digits than its factorization.

41485522256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 41485522256640 in words is "forty-one trillion, four hundred eighty-five billion, five hundred twenty-two million, two hundred fifty-six thousand, six hundred forty".