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23142582545544 = 23357111723117257
BaseRepresentation
bin1010100001100010011010…
…11010010110110010001000
310000221102001100221120100000
411100301031122112302020
511013132002112424134
6121115320004243000
74605665524641420
oct520611532266210
9100842040846300
1023142582545544
117412794580610
1227192300a0460
13cbb44a746c87
145a016d75d480
152a1ed1dcee99
hex150c4d696c88

23142582545544 has 1152 divisors, whose sum is σ = 88867445022720. Its totient is φ = 5474652364800.

The previous prime is 23142582545519. The next prime is 23142582545587. The reversal of 23142582545544 is 44554528524132.

23142582545544 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 5 + 82 + 5 + 4 + 554 + 4 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 1341046164 + ... + 1341063420.

It is an arithmetic number, because the mean of its divisors is an integer number (77141879360).

Almost surely, 223142582545544 is an apocalyptic number.

23142582545544 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 23142582545544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44433722511360).

23142582545544 is an abundant number, since it is smaller than the sum of its proper divisors (65724862477176).

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

23142582545544 is a wasteful number, since it uses less digits than its factorization.

23142582545544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17328 counting only the distinct ones).

The product of its digits is 30720000, while the sum is 54.

The spelling of 23142582545544 in words is "twenty-three trillion, one hundred forty-two billion, five hundred eighty-two million, five hundred forty-five thousand, five hundred forty-four".