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13882920912 = 2433719475397
BaseRepresentation
bin11001110110111110…
…01000111111010000
31022211112011110021000
430323133020333100
5211413011432122
610213331102000
71001013611040
oct147337107720
938745143230
1013882920912
115984601a63
122835441900
131403298603
14959b1b720
15563c080ac
hex33b7c8fd0

13882920912 has 640 divisors, whose sum is σ = 50396774400. Its totient is φ = 3571236864.

The previous prime is 13882920899. The next prime is 13882920913. The reversal of 13882920912 is 21902928831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882920913) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143122848 + ... + 143122944.

It is an arithmetic number, because the mean of its divisors is an integer number (78744960).

Almost surely, 213882920912 is an apocalyptic number.

13882920912 is a gapful number since it is divisible by the number (12) 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 13882920912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

13882920912 is an abundant number, since it is smaller than the sum of its proper divisors (36513853488).

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

13882920912 is a wasteful number, since it uses less digits than its factorization.

13882920912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13882920912 in words is "thirteen billion, eight hundred eighty-two million, nine hundred twenty thousand, nine hundred twelve".