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23247037440 = 2103251145863
BaseRepresentation
bin10101101001101000…
…011010010000000000
32020000010101212020200
4111221220122100000
5340102220144230
614402440405200
71452040362234
oct255150322000
966003355220
1023247037440
11994a38a340
124609476800
132266305273
1411a76365c4
15910d5b160
hex569a1a400

23247037440 has 264 divisors, whose sum is σ = 87875057088. Its totient is φ = 5635522560.

The previous prime is 23247037417. The next prime is 23247037441. The reversal of 23247037440 is 4473074232.

23247037440 is a `hidden beast` number, since 2 + 3 + 247 + 0 + 374 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 = 23247037395 and 23247037404.

It is not an unprimeable number, because it can be changed into a prime (23247037441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483949 + ... + 529811.

Almost surely, 223247037440 is an apocalyptic number.

23247037440 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 23247037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43937528544).

23247037440 is an abundant number, since it is smaller than the sum of its proper divisors (64628019648).

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

23247037440 is a wasteful number, since it uses less digits than its factorization.

23247037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45905 (or 45884 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 23247037440 in words is "twenty-three billion, two hundred forty-seven million, thirty-seven thousand, four hundred forty".