Search a number
-
+
23308302254016 = 26313127422917387
BaseRepresentation
bin1010100110010111000110…
…00100110111111111000000
310001112020210122211000022110
411103023203010313333000
511023340400334112031
6121323404120535320
74623653313136503
oct523134304677700
9101466718730273
1023308302254016
117476aa4a8136a
12274537b321540
131000c6a992380
145a81b0b5d13a
152a6480a8ac46
hex1532e3137fc0

23308302254016 has 224 divisors, whose sum is σ = 66956341616640. Its totient is φ = 7113222918144.

The previous prime is 23308302254011. The next prime is 23308302254057. The reversal of 23308302254016 is 61045220380332.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23308302254011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340550475 + ... + 1340567861.

It is an arithmetic number, because the mean of its divisors is an integer number (298912239360).

Almost surely, 223308302254016 is an apocalyptic number.

23308302254016 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 23308302254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33478170808320).

23308302254016 is an abundant number, since it is smaller than the sum of its proper divisors (43648039362624).

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

23308302254016 is a wasteful number, since it uses less digits than its factorization.

23308302254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21771 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 23308302254016 in words is "twenty-three trillion, three hundred eight billion, three hundred two million, two hundred fifty-four thousand, sixteen".