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1868341464 = 233511412131
BaseRepresentation
bin110111101011100…
…1010000011011000
311211012121120200000
41233113022003120
512311243411324
6505221013000
764204432443
oct15727120330
94735546600
101868341464
118796a2660
12441854160
1323a0ca9c2
1413a1c665a
15ae0579c9
hex6f5ca0d8

1868341464 has 192 divisors, whose sum is σ = 5866922880. Its totient is φ = 552096000.

The previous prime is 1868341441. The next prime is 1868341471. The reversal of 1868341464 is 4641438681.

1868341464 is a `hidden beast` number, since 186 + 8 + 3 + 4 + 1 + 464 = 666.

1868341464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×18683414642 = 6981399652203326592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 875679 + ... + 877809.

It is an arithmetic number, because the mean of its divisors is an integer number (30556890).

Almost surely, 21868341464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868341464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933461440).

1868341464 is an abundant number, since it is smaller than the sum of its proper divisors (3998581416).

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

1868341464 is a wasteful number, since it uses less digits than its factorization.

1868341464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2188 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1868341464 is about 43224.3156568152. The cubic root of 1868341464 is about 1231.6446292594.

The spelling of 1868341464 in words is "one billion, eight hundred sixty-eight million, three hundred forty-one thousand, four hundred sixty-four".