Search a number
-
+
23498821232640 = 2113351317232727
BaseRepresentation
bin1010101011111001111101…
…11001000110100000000000
310002012110120020212220112000
411111330332321012200000
511040001041213421030
6121551113123504000
74643506460551665
oct525747671064000
9102173506786460
1023498821232640
11753a880a77906
12277628b828000
131015c10992710
145b34c59b3a6c
152ab3d19b8860
hex155f3ee46800

23498821232640 has 2304 divisors, whose sum is σ = 99706207910400. Its totient is φ = 5200209248256.

The previous prime is 23498821232611. The next prime is 23498821232651. The reversal of 23498821232640 is 4623212889432.

23498821232640 is a `hidden beast` number, since 2 + 3 + 498 + 8 + 2 + 123 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32322999957 + ... + 32323000683.

It is an arithmetic number, because the mean of its divisors is an integer number (43275263850).

Almost surely, 223498821232640 is an apocalyptic number.

23498821232640 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 23498821232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49853103955200).

23498821232640 is an abundant number, since it is smaller than the sum of its proper divisors (76207386677760).

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

23498821232640 is a wasteful number, since it uses less digits than its factorization.

23498821232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

It can be divided in two parts, 234988 and 21232640, that added together give a triangular number (21467628 = T6552).

The spelling of 23498821232640 in words is "twenty-three trillion, four hundred ninety-eight billion, eight hundred twenty-one million, two hundred thirty-two thousand, six hundred forty".