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23042120544 = 253423596551
BaseRepresentation
bin10101011101011010…
…101101101101100000
32012110211211000010000
4111131122231231200
5334142240324134
614330240340000
71444001536002
oct253532555540
965424730100
1023042120544
119854749233
124570914600
132232a18c71
141188334372
158ecd7ee99
hex55d6adb60

23042120544 has 240 divisors, whose sum is σ = 71922090240. Its totient is φ = 7221139200.

The previous prime is 23042120531. The next prime is 23042120587. The reversal of 23042120544 is 44502124032.

23042120544 is a `hidden beast` number, since 2 + 30 + 421 + 205 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 3514069 + ... + 3520619.

It is an arithmetic number, because the mean of its divisors is an integer number (299675376).

Almost surely, 223042120544 is an apocalyptic number.

23042120544 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 23042120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35961045120).

23042120544 is an abundant number, since it is smaller than the sum of its proper divisors (48879969696).

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

23042120544 is a wasteful number, since it uses less digits than its factorization.

23042120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 23042120544 its reverse (44502124032), we get a palindrome (67544244576).

The spelling of 23042120544 in words is "twenty-three billion, forty-two million, one hundred twenty thousand, five hundred forty-four".