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23814669312 = 2103271919429
BaseRepresentation
bin10110001011011101…
…110000010000000000
32021110200111112210100
4112023131300100000
5342233023404222
614535035002400
71502102230530
oct261335602000
967420445710
1023814669312
11a11083a595
124747599400
132326aaa005
14121cb954c0
15945ad34ac
hex58b770400

23814669312 has 264 divisors, whose sum is σ = 82728276800. Its totient is φ = 6445744128.

The previous prime is 23814669259. The next prime is 23814669367. The reversal of 23814669312 is 21396641832.

23814669312 is a `hidden beast` number, since 23 + 81 + 466 + 93 + 1 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 1216014 + ... + 1235442.

Almost surely, 223814669312 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 23814669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41364138400).

23814669312 is an abundant number, since it is smaller than the sum of its proper divisors (58913607488).

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

23814669312 is a wasteful number, since it uses less digits than its factorization.

23814669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19481 (or 19460 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 23814669312 in words is "twenty-three billion, eight hundred fourteen million, six hundred sixty-nine thousand, three hundred twelve".