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2321663904 = 253372293161
BaseRepresentation
bin1000101001100001…
…1100011110100000
312222210121202011000
42022120130132200
514223321221104
61022213152000
7111350550300
oct21230343640
95883552130
102321663904
11a915784aa
1254962b600
132accbba31
141804ab600
15d8c50639
hex8a61c7a0

2321663904 has 576 divisors, whose sum is σ = 8549452800. Its totient is φ = 609638400.

The previous prime is 2321663819. The next prime is 2321663917. The reversal of 2321663904 is 4093661232.

2321663904 is a `hidden beast` number, since 2 + 3 + 2 + 16 + 639 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38060034 + ... + 38060094.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 22321663904 is an apocalyptic number.

2321663904 is a gapful number since it is divisible by the number (24) 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 2321663904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2321663904 is an abundant number, since it is smaller than the sum of its proper divisors (6227788896).

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

2321663904 is a wasteful number, since it uses less digits than its factorization.

2321663904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2321663904 is about 48183.6476825904. The cubic root of 2321663904 is about 1324.1375954943.

The spelling of 2321663904 in words is "two billion, three hundred twenty-one million, six hundred sixty-three thousand, nine hundred four".