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45650392439040 = 2838513074159
BaseRepresentation
bin10100110000100110011110…
…11011001101100100000000
312222122010122100011100000000
422120103033123031210000
521440414000431022130
6241031300100000000
712421063165240614
oct1230231733154400
9188563570140000
1045650392439040
111360024a479464
125153428090000
131c61a76450b9c
14b3b6c29cd344
1554271131e260
hex2984cf6cd900

45650392439040 has 648 divisors, whose sum is σ = 164177053447680. Its totient is φ = 12161199181824.

The previous prime is 45650392439033. The next prime is 45650392439059. The reversal of 45650392439040 is 4093429305654.

45650392439040 is a `hidden beast` number, since 4 + 5 + 6 + 503 + 9 + 2 + 4 + 3 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×456503924390402 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10976288481 + ... + 10976292639.

Almost surely, 245650392439040 is an apocalyptic number.

45650392439040 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 45650392439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82088526723840).

45650392439040 is an abundant number, since it is smaller than the sum of its proper divisors (118526661008640).

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

45650392439040 is an frugal number, since it uses more digits than its factorization.

45650392439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 45650392439040 in words is "forty-five trillion, six hundred fifty billion, three hundred ninety-two million, four hundred thirty-nine thousand, forty".