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13419487080 = 23345233137157
BaseRepresentation
bin11000111111101110…
…10001111101101000
31021122020010120120000
430133313101331220
5204440342041310
610055334103000
7653355521016
oct143767217550
937566116500
1013419487080
115766a5029a
1227261aaa60
13135b2770cc
149143638b6
155381b44c0
hex31fdd1f68

13419487080 has 640 divisors, whose sum is σ = 50214574080. Its totient is φ = 3202467840.

The previous prime is 13419487063. The next prime is 13419487097. The reversal of 13419487080 is 8078491431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13419487063) and next prime (13419487097).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85474362 + ... + 85474518.

It is an arithmetic number, because the mean of its divisors is an integer number (78460272).

Almost surely, 213419487080 is an apocalyptic number.

13419487080 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 13419487080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107287040).

13419487080 is an abundant number, since it is smaller than the sum of its proper divisors (36795087000).

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

13419487080 is a wasteful number, since it uses less digits than its factorization.

13419487080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13419487080 in words is "thirteen billion, four hundred nineteen million, four hundred eighty-seven thousand, eighty".