Search a number
-
+
23673694968 = 233272112712251
BaseRepresentation
bin10110000011000011…
…111110101011111000
32021002212020022100100
4112003003332223320
5341440431214333
614513041235400
71465441041600
oct260303765370
967085208310
1023673694968
11a049202470
124708332b60
13230381b341
141208179c00
15938538213
hex5830feaf8

23673694968 has 288 divisors, whose sum is σ = 81701118720. Its totient is φ = 6123600000.

The previous prime is 23673694951. The next prime is 23673695009. The reversal of 23673694968 is 86949637632.

23673694968 is a `hidden beast` number, since 23 + 67 + 3 + 69 + 496 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 10515843 + ... + 10518093.

It is an arithmetic number, because the mean of its divisors is an integer number (283684440).

Almost surely, 223673694968 is an apocalyptic number.

23673694968 is a gapful number since it is divisible by the number (28) 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 23673694968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40850559360).

23673694968 is an abundant number, since it is smaller than the sum of its proper divisors (58027423752).

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

23673694968 is a wasteful number, since it uses less digits than its factorization.

23673694968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2545 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 23673694968 in words is "twenty-three billion, six hundred seventy-three million, six hundred ninety-four thousand, nine hundred sixty-eight".