Search a number
-
+
23960966400000 = 211355573171
BaseRepresentation
bin1010111001010110110001…
…11001000000100000000000
310010211122102221112212200000
411130223120321000200000
511120034024344300000
6122543303242400000
75022060040633650
oct534533071004000
9103748387485600
1023960966400000
1176a8874965253
12282b967200000
13104a681301626
145cba074b2360
152b842e100000
hex15cad8e40800

23960966400000 has 3456 divisors, whose sum is σ = 107314891407360. Its totient is φ = 5225472000000.

The previous prime is 23960966399999. The next prime is 23960966400001. The reversal of 23960966400000 is 466906932.

23960966400000 is a `hidden beast` number, since 2 + 39 + 609 + 6 + 6 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23960966399999) and next prime (23960966400001).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23960966400001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337478399965 + ... + 337478400035.

It is an arithmetic number, because the mean of its divisors is an integer number (31051762560).

Almost surely, 223960966400000 is an apocalyptic number.

23960966400000 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 23960966400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657445703680).

23960966400000 is an abundant number, since it is smaller than the sum of its proper divisors (83353925007360).

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

23960966400000 is an frugal number, since it uses more digits than its factorization.

23960966400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 23960966400000 in words is "twenty-three trillion, nine hundred sixty billion, nine hundred sixty-six million, four hundred thousand".