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19837041048 = 23331121943929
BaseRepresentation
bin10010011110011000…
…010011100110011000
31220012110220002121000
4102132120103212120
5311111240303143
613040224345000
71301403031626
oct223630234630
956173802530
1019837041048
11845a546600
123a17475160
131b419bc416
14d627c6516
157b17cbbd3
hex49e613998

19837041048 has 384 divisors, whose sum is σ = 65308320000. Its totient is φ = 5556418560.

The previous prime is 19837041023. The next prime is 19837041053. The reversal of 19837041048 is 84014073891.

It is a happy number.

19837041048 is a `hidden beast` number, since 198 + 3 + 7 + 0 + 410 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19837040994 and 19837041012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21352648 + ... + 21353576.

It is an arithmetic number, because the mean of its divisors is an integer number (170073750).

Almost surely, 219837041048 is an apocalyptic number.

19837041048 is a gapful number since it is divisible by the number (18) 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 19837041048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160000).

19837041048 is an abundant number, since it is smaller than the sum of its proper divisors (45471278952).

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

19837041048 is a wasteful number, since it uses less digits than its factorization.

19837041048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1007 counting only the distinct ones).

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

The spelling of 19837041048 in words is "nineteen billion, eight hundred thirty-seven million, forty-one thousand, forty-eight".