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468615193640 = 2351121910946751
BaseRepresentation
bin1101101000110111010…
…01000110010000101000
31122210120121011100122222
412310123221012100220
530134210442144030
6555140121533212
745566502265226
oct6643351062050
91583517140588
10468615193640
11170814072a00
12769a2344208
1335261bc6a39
1418976cddb16
15c2ca6663e5
hex6d1ba46428

468615193640 has 192 divisors, whose sum is σ = 1231167168000. Its totient is φ = 159952320000.

The previous prime is 468615193609. The next prime is 468615193663. The reversal of 468615193640 is 46391516864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10000265 + ... + 10047015.

It is an arithmetic number, because the mean of its divisors is an integer number (6412329000).

Almost surely, 2468615193640 is an apocalyptic number.

468615193640 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 468615193640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615583584000).

468615193640 is an abundant number, since it is smaller than the sum of its proper divisors (762551974360).

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

468615193640 is a wasteful number, since it uses less digits than its factorization.

468615193640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46912 (or 46897 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 468615193640 in words is "four hundred sixty-eight billion, six hundred fifteen million, one hundred ninety-three thousand, six hundred forty".