Search a number
-
+
23921068608384 = 273316747216353
BaseRepresentation
bin1010111000001100011101…
…10011000000101110000000
310010200211110101211001201020
411130012032303000232000
511113410322030432014
6122513104234305440
75016145244203533
oct534061663005600
9103624411731636
1023921068608384
117692960676952
122824091588280
131046993486acc
145c9b0070ca1a
152b73965a71a9
hex15c18ecc0b80

23921068608384 has 256 divisors, whose sum is σ = 66593563637760. Its totient is φ = 7598496153600.

The previous prime is 23921068608361. The next prime is 23921068608389. The reversal of 23921068608384 is 48380686012932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23921068608389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765315352 + ... + 3765321704.

It is an arithmetic number, because the mean of its divisors is an integer number (260131107960).

Almost surely, 223921068608384 is an apocalyptic number.

23921068608384 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 23921068608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33296781818880).

23921068608384 is an abundant number, since it is smaller than the sum of its proper divisors (42672495029376).

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

23921068608384 is a wasteful number, since it uses less digits than its factorization.

23921068608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 23921068608384 in words is "twenty-three trillion, nine hundred twenty-one billion, sixty-eight million, six hundred eight thousand, three hundred eighty-four".