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23394432731904 = 28361331535869
BaseRepresentation
bin1010101000110111100001…
…10110100100101100000000
310001211111010020111122000000
411110123300312210230000
511031243244234410104
6121431130512000000
74633122565130463
oct524336066445400
9101744106448000
1023394432731904
1174aa5834271a3
122759bb8230000
131009115c180a0
145ac421b8d2da
152a8822367639
hex1546f0da4b00

23394432731904 has 1008 divisors, whose sum is σ = 79314198001920. Its totient is φ = 6833484103680.

The previous prime is 23394432731903. The next prime is 23394432731963. The reversal of 23394432731904 is 40913723449332.

23394432731904 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 443 + 2 + 7 + 3 + 190 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23394432731903) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 3986099082 + ... + 3986104950.

It is an arithmetic number, because the mean of its divisors is an integer number (78684720240).

Almost surely, 223394432731904 is an apocalyptic number.

23394432731904 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 23394432731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657099000960).

23394432731904 is an abundant number, since it is smaller than the sum of its proper divisors (55919765270016).

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

23394432731904 is an equidigital number, since it uses as much as digits as its factorization.

23394432731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 23394432731904 in words is "twenty-three trillion, three hundred ninety-four billion, four hundred thirty-two million, seven hundred thirty-one thousand, nine hundred four".