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16231868640 = 253451327411
BaseRepresentation
bin11110001110111111…
…01010100011100000
31112220020010100210000
433013133222203200
5231220324244030
611242401140000
71113145415121
oct170737524340
945806110700
1016231868640
11697a515179
12319002a600
1316b8b1ac00
14adda8c048
15650047860
hex3c77ea8e0

16231868640 has 360 divisors, whose sum is σ = 62038840248. Its totient is φ = 3994997760.

The previous prime is 16231868633. The next prime is 16231868659. The reversal of 16231868640 is 4686813261.

16231868640 is a `hidden beast` number, since 1 + 623 + 18 + 6 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2186535 + ... + 2193945.

Almost surely, 216231868640 is an apocalyptic number.

16231868640 is a gapful number since it is divisible by the number (10) 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 16231868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31019420124).

16231868640 is an abundant number, since it is smaller than the sum of its proper divisors (45806971608).

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

16231868640 is a wasteful number, since it uses less digits than its factorization.

16231868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16231868640 in words is "sixteen billion, two hundred thirty-one million, eight hundred sixty-eight thousand, six hundred forty".