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15480412920 = 23325759104119
BaseRepresentation
bin11100110101011010…
…00101101011111000
31110221212010110022200
432122231011223320
5223200441203140
611040034550200
71055422224120
oct163255055370
943855113280
1015480412920
116624320395
123000438360
1315c923395b
14a6bd5bc80
156090ae030
hex39ab45af8

15480412920 has 192 divisors, whose sum is σ = 58473792000. Its totient is φ = 3478374144.

The previous prime is 15480412919. The next prime is 15480412931. The reversal of 15480412920 is 2921408451.

15480412920 is a `hidden beast` number, since 154 + 8 + 0 + 412 + 92 + 0 = 666.

It is a super-3 number, since 3×154804129203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96621 + ... + 200739.

It is an arithmetic number, because the mean of its divisors is an integer number (304551000).

Almost surely, 215480412920 is an apocalyptic number.

15480412920 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 15480412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29236896000).

15480412920 is an abundant number, since it is smaller than the sum of its proper divisors (42993379080).

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

15480412920 is a wasteful number, since it uses less digits than its factorization.

15480412920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104202 (or 104195 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 15480412920 in words is "fifteen billion, four hundred eighty million, four hundred twelve thousand, nine hundred twenty".