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42554453760 = 2833572131933
BaseRepresentation
bin100111101000011100…
…010110111100000000
311001211200201020022000
4213220130112330000
51144122420010020
631314345344000
73034352613600
oct475034267400
9131750636260
1042554453760
1117057974a55
1282b7498000
134022369370
1420b9954c00
151190dbc090
hex9e8716f00

42554453760 has 864 divisors, whose sum is σ = 189274236480. Its totient is φ = 8973877248.

The previous prime is 42554453759. The next prime is 42554453783. The reversal of 42554453760 is 6735445524.

42554453760 is a `hidden beast` number, since 4 + 2 + 5 + 54 + 4 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22013754 + ... + 22015686.

Almost surely, 242554453760 is an apocalyptic number.

42554453760 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 42554453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94637118240).

42554453760 is an abundant number, since it is smaller than the sum of its proper divisors (146719782720).

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

42554453760 is a wasteful number, since it uses less digits than its factorization.

42554453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 42554453760 in words is "forty-two billion, five hundred fifty-four million, four hundred fifty-three thousand, seven hundred sixty".