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19914518260 = 2257413192373
BaseRepresentation
bin10010100010111111…
…110110111011110100
31220101212200100100101
4102202333312323310
5311241104041020
613052033123444
71303333420000
oct224277667364
956355610311
1019914518260
11849a25435a
123a393b9584
131b54a78420
14d6cbd3700
157b84d300a
hex4a2ff6ef4

19914518260 has 480 divisors, whose sum is σ = 58501013760. Its totient is φ = 5633058816.

The previous prime is 19914518257. The next prime is 19914518269. The reversal of 19914518260 is 6281541991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 19914518260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19914518269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 272801584 + ... + 272801656.

It is an arithmetic number, because the mean of its divisors is an integer number (121877112).

Almost surely, 219914518260 is an apocalyptic number.

19914518260 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 19914518260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29250506880).

19914518260 is an abundant number, since it is smaller than the sum of its proper divisors (38586495500).

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

19914518260 is a wasteful number, since it uses less digits than its factorization.

19914518260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 19914518260 in words is "nineteen billion, nine hundred fourteen million, five hundred eighteen thousand, two hundred sixty".