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23779641312 = 2533759103647
BaseRepresentation
bin10110001001011000…
…001000011111100000
32021101020120221102000
4112021120020133200
5342200042010222
614531344124000
71501165421220
oct261130103740
967336527360
1023779641312
11a0a2a95529
124737906600
13231c76459b
141218278080
159429b49ac
hex5896087e0

23779641312 has 384 divisors, whose sum is σ = 81517363200. Its totient is φ = 6603959808.

The previous prime is 23779641289. The next prime is 23779641313. The reversal of 23779641312 is 21314697732.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23779641313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36753373 + ... + 36754019.

It is an arithmetic number, because the mean of its divisors is an integer number (212284800).

Almost surely, 223779641312 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 23779641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40758681600).

23779641312 is an abundant number, since it is smaller than the sum of its proper divisors (57737721888).

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

23779641312 is a wasteful number, since it uses less digits than its factorization.

23779641312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 821 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 23779641312 in words is "twenty-three billion, seven hundred seventy-nine million, six hundred forty-one thousand, three hundred twelve".