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42646743090 = 23257315341201
BaseRepresentation
bin100111101101111100…
…011010100000110010
311002002010101000110100
4213231330122200302
51144320031234330
631331443413230
73036553222650
oct475574324062
9132063330410
1042646743090
11170a4a7a326
128322384216
134038510333
1420c7cd9dd0
15119904c060
hex9edf1a832

42646743090 has 192 divisors, whose sum is σ = 133280888832. Its totient is φ = 9255168000.

The previous prime is 42646743011. The next prime is 42646743091. The reversal of 42646743090 is 9034764624.

It is a happy number.

42646743090 is a `hidden beast` number, since 426 + 46 + 74 + 30 + 90 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42646743091) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1014490 + ... + 1055690.

It is an arithmetic number, because the mean of its divisors is an integer number (694171296).

Almost surely, 242646743090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42646743090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66640444416).

42646743090 is an abundant number, since it is smaller than the sum of its proper divisors (90634145742).

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

42646743090 is a wasteful number, since it uses less digits than its factorization.

42646743090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41305 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 42646743090 in words is "forty-two billion, six hundred forty-six million, seven hundred forty-three thousand, ninety".