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23052443904 = 2832717831013
BaseRepresentation
bin10101011110000010…
…000110000100000000
32012111120020111002200
4111132002012010000
5334202411201104
614331245513200
71444155353160
oct253602060400
965446214080
1023052443904
11985a55a336
124574272800
132234bc1a69
1411898605a0
158edc1db39
hex55e086100

23052443904 has 432 divisors, whose sum is σ = 81478680192. Its totient is φ = 6118244352.

The previous prime is 23052443893. The next prime is 23052443923. The reversal of 23052443904 is 40934425032.

23052443904 is a `hidden beast` number, since 2 + 3 + 0 + 524 + 43 + 90 + 4 = 666.

It is a super-2 number, since 2×230524439042 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22756102 + ... + 22757114.

It is an arithmetic number, because the mean of its divisors is an integer number (188608056).

Almost surely, 223052443904 is an apocalyptic number.

23052443904 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 23052443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40739340096).

23052443904 is an abundant number, since it is smaller than the sum of its proper divisors (58426236288).

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

23052443904 is a wasteful number, since it uses less digits than its factorization.

23052443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23052443904 its reverse (40934425032), we get a palindrome (63986868936).

The spelling of 23052443904 in words is "twenty-three billion, fifty-two million, four hundred forty-three thousand, nine hundred four".