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23245366749696 = 293571317235989
BaseRepresentation
bin1010100100100001110111…
…10100111110101000000000
310001022020100120120010200000
411102100323310332220000
511021323002341442241
6121234435110400000
74616264600156250
oct522207364765000
9101266316503600
1023245366749696
117452339585483
122735136360000
13cc804b012ca0
145a5120491960
152a49ea783eb6
hex15243bd3ea00

23245366749696 has 3840 divisors, whose sum is σ = 97290972979200. Its totient is φ = 5364642742272.

The previous prime is 23245366749653. The next prime is 23245366749701. The reversal of 23245366749696 is 69694766354232.

23245366749696 is a `hidden beast` number, since 2 + 3 + 2 + 45 + 3 + 6 + 6 + 7 + 496 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 261183896020 + ... + 261183896108.

It is an arithmetic number, because the mean of its divisors is an integer number (25336190880).

Almost surely, 223245366749696 is an apocalyptic number.

23245366749696 is a gapful number since it is divisible by the number (26) 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 23245366749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48645486489600).

23245366749696 is an abundant number, since it is smaller than the sum of its proper divisors (74045606229504).

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

23245366749696 is a wasteful number, since it uses less digits than its factorization.

23245366749696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 72.

The spelling of 23245366749696 in words is "twenty-three trillion, two hundred forty-five billion, three hundred sixty-six million, seven hundred forty-nine thousand, six hundred ninety-six".