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23454673920 = 2103256771107
BaseRepresentation
bin10101110110000000…
…011110110000000000
32020112121002212221200
4111312000132300000
5341013344031140
614435215021200
71460141303346
oct256600366000
966477085850
1023454673920
119a46608737
124666b0a800
13229a3343a2
1411c7045996
159241c3030
hex57601ec00

23454673920 has 528 divisors, whose sum is σ = 84426271488. Its totient is φ = 6017679360.

The previous prime is 23454673877. The next prime is 23454673927. The reversal of 23454673920 is 2937645432.

23454673920 is a `hidden beast` number, since 2 + 34 + 546 + 73 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23454673927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219202507 + ... + 219202613.

Almost surely, 223454673920 is an apocalyptic number.

23454673920 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 23454673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42213135744).

23454673920 is an abundant number, since it is smaller than the sum of its proper divisors (60971597568).

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

23454673920 is a wasteful number, since it uses less digits than its factorization.

23454673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 23454673920 in words is "twenty-three billion, four hundred fifty-four million, six hundred seventy-three thousand, nine hundred twenty".