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19148644944 = 24351121331101
BaseRepresentation
bin10001110101010110…
…010010001001010000
31211102111112221200000
4101311112102021100
5303204023114234
612444033530000
71245343540122
oct216526221120
954374487600
1019148644944
118136a02400
123864a13900
131a621b3950
14cd91cd212
1577114c899
hex475592250

19148644944 has 720 divisors, whose sum is σ = 68579277312. Its totient is φ = 5132160000.

The previous prime is 19148644937. The next prime is 19148644981. The reversal of 19148644944 is 44944684191.

19148644944 is a `hidden beast` number, since 1 + 9 + 148 + 6 + 4 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189590494 + ... + 189590594.

Almost surely, 219148644944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19148644944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34289638656).

19148644944 is an abundant number, since it is smaller than the sum of its proper divisors (49430632368).

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

19148644944 is a wasteful number, since it uses less digits than its factorization.

19148644944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 19148644944 in words is "nineteen billion, one hundred forty-eight million, six hundred forty-four thousand, nine hundred forty-four".