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2363872896 = 2736721147
BaseRepresentation
bin1000110011100101…
…1101011010000000
320002202001012000000
42030321131122000
514320122413041
61030322000000
7112402405500
oct21471353200
96082035000
102363872896
111003387770
1255b7a6000
132b8979b78
14185d37a00
15dc7dbbb6
hex8ce5d680

2363872896 has 672 divisors, whose sum is σ = 9150770880. Its totient is φ = 600929280.

The previous prime is 2363872873. The next prime is 2363872913. The reversal of 2363872896 is 6982783632.

It is a happy number.

2363872896 is a `hidden beast` number, since 236 + 387 + 28 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50295145 + ... + 50295191.

Almost surely, 22363872896 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 2363872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575385440).

2363872896 is an abundant number, since it is smaller than the sum of its proper divisors (6786897984).

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

2363872896 is an equidigital number, since it uses as much as digits as its factorization.

2363872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2363872896 is about 48619.6760170201. The cubic root of 2363872896 is about 1332.1139420425.

The spelling of 2363872896 in words is "two billion, three hundred sixty-three million, eight hundred seventy-two thousand, eight hundred ninety-six".