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23379697336320 = 2173551323491
BaseRepresentation
bin1010101000011100000101…
…00011100000000000000000
310001210002002022020222100000
411110032002203200000000
511031023110004230240
6121420252405200000
74632061460260503
oct524160243400000
9101702068228300
1023379697336320
1174a4301703416
122757185400000
131007908155cc0
145ab824b6713a
152a825d8be430
hex1543828e0000

23379697336320 has 1728 divisors, whose sum is σ = 94644477817344. Its totient is φ = 5493573550080.

The previous prime is 23379697336243. The next prime is 23379697336321. The reversal of 23379697336320 is 2363379697332.

23379697336320 is a `hidden beast` number, since 233 + 7 + 9 + 6 + 9 + 73 + 3 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×233796973363202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23379697336321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47616491275 + ... + 47616491765.

It is an arithmetic number, because the mean of its divisors is an integer number (54771109848).

Almost surely, 223379697336320 is an apocalyptic number.

23379697336320 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 23379697336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47322238908672).

23379697336320 is an abundant number, since it is smaller than the sum of its proper divisors (71264780481024).

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

23379697336320 is an frugal number, since it uses more digits than its factorization.

23379697336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 63.

The spelling of 23379697336320 in words is "twenty-three trillion, three hundred seventy-nine billion, six hundred ninety-seven million, three hundred thirty-six thousand, three hundred twenty".