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23197446144 = 21234292411
BaseRepresentation
bin10101100110101011…
…001111000000000000
32012212200002100210000
4111212223033000000
5340002021234034
614353505440000
71450566016215
oct254653170000
965780070700
1023197446144
1199243986a4
1245b4940000
132258c60bc2
1411a0c07b0c
1590b812599
hex566acf000

23197446144 has 260 divisors, whose sum is σ = 71716791960. Its totient is φ = 7462748160.

The previous prime is 23197446143. The next prime is 23197446263. The reversal of 23197446144 is 44164479132.

23197446144 is a `hidden beast` number, since 2 + 3 + 197 + 446 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23197446144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23197446143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9620299 + ... + 9622709.

Almost surely, 223197446144 is an apocalyptic number.

23197446144 is a gapful number since it is divisible by the number (24) 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 23197446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35858395980).

23197446144 is an abundant number, since it is smaller than the sum of its proper divisors (48519345816).

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

23197446144 is an equidigital number, since it uses as much as digits as its factorization.

23197446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2445 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23197446144 in words is "twenty-three billion, one hundred ninety-seven million, four hundred forty-six thousand, one hundred forty-four".