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23851980472320 = 21437572111319
BaseRepresentation
bin1010110110001011110001…
…10100101100000000000000
310010110020010112022010000000
411123011320310230000000
511111242324000103240
6122421240520000000
75011151211554400
oct533057064540000
9103406115263000
1023851980472320
11766662817a740
122812810000000
131040302c2ac20
145c6628c60800
152b56a1068430
hex15b178d2c000

23851980472320 has 5760 divisors, whose sum is σ = 123502545331200. Its totient is φ = 4334215495680.

The previous prime is 23851980472319. The next prime is 23851980472351. The reversal of 23851980472320 is 2327408915832.

23851980472320 is a `hidden beast` number, since 2 + 3 + 8 + 51 + 98 + 0 + 472 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×238519804723202 (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1255367393271 + ... + 1255367393289.

It is an arithmetic number, because the mean of its divisors is an integer number (21441414120).

Almost surely, 223851980472320 is an apocalyptic number.

23851980472320 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 23851980472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61751272665600).

23851980472320 is an abundant number, since it is smaller than the sum of its proper divisors (99650564858880).

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

23851980472320 is an equidigital number, since it uses as much as digits as its factorization.

23851980472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 23851980472320 in words is "twenty-three trillion, eight hundred fifty-one billion, nine hundred eighty million, four hundred seventy-two thousand, three hundred twenty".