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23274501120 = 210355131439
BaseRepresentation
bin10101101011010001…
…001011010000000000
32020002001002011100000
4111223101023100000
5340131233013440
614405301200000
71452522665253
oct255321132000
966061064300
1023274501120
1199639381a2
124616700000
13226bbcc970
1411ab14509a
15913483730
hex56b44b400

23274501120 has 528 divisors, whose sum is σ = 90128263680. Its totient is φ = 5725126656.

The previous prime is 23274501059. The next prime is 23274501169. The reversal of 23274501120 is 2110547232.

23274501120 is a `hidden beast` number, since 2 + 32 + 7 + 4 + 501 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 16173361 + ... + 16174799.

Almost surely, 223274501120 is an apocalyptic number.

23274501120 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 23274501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45064131840).

23274501120 is an abundant number, since it is smaller than the sum of its proper divisors (66853762560).

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

23274501120 is a wasteful number, since it uses less digits than its factorization.

23274501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 23274501120 in words is "twenty-three billion, two hundred seventy-four million, five hundred one thousand, one hundred twenty".