Search a number
-
+
23400963936 = 253376176271
BaseRepresentation
bin10101110010110011…
…100101111101100000
32020101212001010201000
4111302303211331200
5340411121321221
614430015512000
71455616624440
oct256263457540
966355033630
1023400963936
119a19263619
124650b28600
13228c17a42c
1411bdc64120
1591e613e26
hex572ce5f60

23400963936 has 192 divisors, whose sum is σ = 78142095360. Its totient is φ = 6674088960.

The previous prime is 23400963869. The next prime is 23400963961. The reversal of 23400963936 is 63936900432.

23400963936 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 0 + 9 + 639 + 3 + 6 = 666.

It is a super-2 number, since 2×234009639362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23400963891 and 23400963900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728481 + ... + 3734751.

It is an arithmetic number, because the mean of its divisors is an integer number (406990080).

Almost surely, 223400963936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23400963936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39071047680).

23400963936 is an abundant number, since it is smaller than the sum of its proper divisors (54741131424).

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

23400963936 is a wasteful number, since it uses less digits than its factorization.

23400963936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 23400963936 in words is "twenty-three billion, four hundred million, nine hundred sixty-three thousand, nine hundred thirty-six".