Search a number
-
+
23391321408 = 2632713446263
BaseRepresentation
bin10101110010001110…
…110011110101000000
32020101011220020122100
4111302032303311000
5340401134241113
614425033110400
71455441644220
oct256216636500
966334806570
1023391321408
119a13877a94
124649858400
13228a1824b0
1411bc874080
1591d85bd73
hex5723b3d40

23391321408 has 168 divisors, whose sum is σ = 82519568768. Its totient is φ = 6169125888.

The previous prime is 23391321407. The next prime is 23391321433. The reversal of 23391321408 is 80412319332.

23391321408 is a `hidden beast` number, since 233 + 9 + 13 + 2 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23391321407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 170716 + ... + 275547.

Almost surely, 223391321408 is an apocalyptic number.

23391321408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23391321408 is an abundant number, since it is smaller than the sum of its proper divisors (59128247360).

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

23391321408 is a wasteful number, since it uses less digits than its factorization.

23391321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446301 (or 446288 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23391321408 in words is "twenty-three billion, three hundred ninety-one million, three hundred twenty-one thousand, four hundred eight".