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19493310144 = 263731171379
BaseRepresentation
bin10010001001111001…
…000100111011000000
31212022112002202102210
4102021321010323000
5304410241411034
612542145142120
71260030255000
oct221171047300
955275082383
1019493310144
1182a3513480
12394032a940
131ab871c859
14d2ccac000
157915308e9
hex489e44ec0

19493310144 has 448 divisors, whose sum is σ = 66714624000. Its totient is φ = 4978713600.

The previous prime is 19493310131. The next prime is 19493310163. The reversal of 19493310144 is 44101339491.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51433347 + ... + 51433725.

Almost surely, 219493310144 is an apocalyptic number.

19493310144 is a gapful number since it is divisible by the number (14) 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 19493310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33357312000).

19493310144 is an abundant number, since it is smaller than the sum of its proper divisors (47221313856).

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

19493310144 is a wasteful number, since it uses less digits than its factorization.

19493310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 19493310144 in words is "nineteen billion, four hundred ninety-three million, three hundred ten thousand, one hundred forty-four".