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12351890928 = 24313223239277
BaseRepresentation
bin10111000000011101…
…01110010111110000
31011212211021001221210
423200032232113300
5200244041002203
65401355520120
7615043224546
oct134016562760
934784231853
1012351890928
115269358523
122488759040
13121b030600
1485265bd96
154c45ce803
hex2e03ae5f0

12351890928 has 240 divisors, whose sum is σ = 36336245760. Its totient is φ = 3607059456.

The previous prime is 12351890879. The next prime is 12351890933. The reversal of 12351890928 is 82909815321.

12351890928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44591526 + ... + 44591802.

It is an arithmetic number, because the mean of its divisors is an integer number (151401024).

Almost surely, 212351890928 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 12351890928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168122880).

12351890928 is an abundant number, since it is smaller than the sum of its proper divisors (23984354832).

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

12351890928 is a wasteful number, since it uses less digits than its factorization.

12351890928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 12351890928 in words is "twelve billion, three hundred fifty-one million, eight hundred ninety thousand, nine hundred twenty-eight".