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23453135244 = 223271121914027
BaseRepresentation
bin10101110101111010…
…100111000110001100
32020112111012201021200
4111311322213012030
5341013000311434
614435122025500
71460122234410
oct256572470614
966474181250
1023453135244
119a45757700
1246664a8290
132299c15c26
1411c6b64d40
15923ebc199
hex575ea718c

23453135244 has 216 divisors, whose sum is σ = 74881357824. Its totient is φ = 6058324800.

The previous prime is 23453135221. The next prime is 23453135291. The reversal of 23453135244 is 44253135432.

23453135244 is a `hidden beast` number, since 2 + 34 + 531 + 3 + 52 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23453135199 and 23453135208.

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, 5821959 + ... + 5825985.

Almost surely, 223453135244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23453135244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440678912).

23453135244 is an abundant number, since it is smaller than the sum of its proper divisors (51428222580).

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

23453135244 is a wasteful number, since it uses less digits than its factorization.

23453135244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4241 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 23453135244 in words is "twenty-three billion, four hundred fifty-three million, one hundred thirty-five thousand, two hundred forty-four".