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42550583040 = 28355719543
BaseRepresentation
bin100111101000001101…
…100101111100000000
311001211102102120200000
4213220031211330000
51144120422124130
631314130400000
73034304662650
oct475015457400
9131742376600
1042550583040
1117055770909
1282b6130000
1340216125b4
1420b9228360
1511908a5260
hex9e8365f00

42550583040 has 432 divisors, whose sum is σ = 174492584448. Its totient is φ = 9725349888.

The previous prime is 42550583021. The next prime is 42550583051. The reversal of 42550583040 is 4038505524.

42550583040 is a `hidden beast` number, since 4 + 25 + 50 + 583 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42550582986 and 42550583004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167509 + ... + 2187051.

Almost surely, 242550583040 is an apocalyptic number.

42550583040 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 42550583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87246292224).

42550583040 is an abundant number, since it is smaller than the sum of its proper divisors (131942001408).

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

42550583040 is an equidigital number, since it uses as much as digits as its factorization.

42550583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19586 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42550583040 in words is "forty-two billion, five hundred fifty million, five hundred eighty-three thousand, forty".