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23796843396480 = 27345711171918457
BaseRepresentation
bin1010110100100101000100…
…11001011011110110000000
310010020221210221011110010000
411122102202121123312000
511104341413402141410
6122340041405040000
75004156651263220
oct532224231336600
9103227727143100
1023796843396480
117645203795570
122803ba2856000
131038056b0726b
145c3ab818a080
152b40256e1dc0
hex15a4a265bd80

23796843396480 has 2560 divisors, whose sum is σ = 118095996902400. Its totient is φ = 4408745656320.

The previous prime is 23796843396377. The next prime is 23796843396503. The reversal of 23796843396480 is 8469334869732.

23796843396480 is a `hidden beast` number, since 2 + 3 + 7 + 9 + 68 + 433 + 96 + 48 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23796843396399 and 23796843396408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1289303412 + ... + 1289321868.

It is an arithmetic number, because the mean of its divisors is an integer number (46131248790).

Almost surely, 223796843396480 is an apocalyptic number.

23796843396480 is a gapful number since it is divisible by the number (20) 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 23796843396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59047998451200).

23796843396480 is an abundant number, since it is smaller than the sum of its proper divisors (94299153505920).

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

23796843396480 is a wasteful number, since it uses less digits than its factorization.

23796843396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18542 (or 18521 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 23796843396480 in words is "twenty-three trillion, seven hundred ninety-six billion, eight hundred forty-three million, three hundred ninety-six thousand, four hundred eighty".