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23266207134144 = 2632135023618581
BaseRepresentation
bin1010100101001000101100…
…00000101111000111000000
310001101020010222102100122200
411102210112000233013000
511022143143011243034
6121252203100233200
74620633205415502
oct522442600570700
9101336128370580
1023266207134144
1174601634187a7
12273919183b800
13cc9cbc840310
145a613a215d72
152a531a1a2a99
hex15291602f1c0

23266207134144 has 168 divisors, whose sum is σ = 71832671444352. Its totient is φ = 7157396183040.

The previous prime is 23266207134109. The next prime is 23266207134161. The reversal of 23266207134144 is 44143170266232.

23266207134144 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 620 + 7 + 1 + 3 + 4 + 14 + 4 = 666.

It is a super-2 number, since 2×232662071341442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23266207134144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37302934 + ... + 37921514.

It is an arithmetic number, because the mean of its divisors is an integer number (427575425264).

Almost surely, 223266207134144 is an apocalyptic number.

23266207134144 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 23266207134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35916335722176).

23266207134144 is an abundant number, since it is smaller than the sum of its proper divisors (48566464310208).

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

23266207134144 is a wasteful number, since it uses less digits than its factorization.

23266207134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623635 (or 623622 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 23266207134144 in words is "twenty-three trillion, two hundred sixty-six billion, two hundred seven million, one hundred thirty-four thousand, one hundred forty-four".