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14912083760 = 245723141273
BaseRepresentation
bin11011110001101010…
…00101011100110000
31102111020201100021112
431320311011130300
5221014443140020
610503413412452
71035351422600
oct157065053460
942436640245
1014912083760
116362534272
122a8203a128
131538576702
14a1669ac00
155c424a2c5
hex378d45730

14912083760 has 360 divisors, whose sum is σ = 43256838528. Its totient is φ = 4760985600.

The previous prime is 14912083757. The next prime is 14912083811. The reversal of 14912083760 is 6738021941.

14912083760 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 (41).

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 71 ways as a sum of consecutive naturals, for example, 204275084 + ... + 204275156.

Almost surely, 214912083760 is an apocalyptic number.

14912083760 is a gapful number since it is divisible by the number (10) 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 14912083760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628419264).

14912083760 is an abundant number, since it is smaller than the sum of its proper divisors (28344754768).

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

14912083760 is a wasteful number, since it uses less digits than its factorization.

14912083760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 14912083760 in words is "fourteen billion, nine hundred twelve million, eighty-three thousand, seven hundred sixty".