Search a number
-
+
23327136000 = 283353721929
BaseRepresentation
bin10101101110011001…
…111101100100000000
32020012201010021211000
4111232121331210000
5340233221323000
614414421252000
71454032245600
oct255631754400
966181107730
1023327136000
1199906185a3
124630264000
132279a9b46c
1411b4126c00
15917dce000
hex56e67d900

23327136000 has 1728 divisors, whose sum is σ = 109051488000. Its totient is φ = 4877107200.

The previous prime is 23327135999. The next prime is 23327136023. The reversal of 23327136000 is 63172332.

23327136000 is a `hidden beast` number, since 2 + 33 + 27 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804383986 + ... + 804384014.

It is an arithmetic number, because the mean of its divisors is an integer number (63108500).

Almost surely, 223327136000 is an apocalyptic number.

23327136000 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 23327136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525744000).

23327136000 is an abundant number, since it is smaller than the sum of its proper divisors (85724352000).

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

23327136000 is a wasteful number, since it uses less digits than its factorization.

23327136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 23327136000 in words is "twenty-three billion, three hundred twenty-seven million, one hundred thirty-six thousand".