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19983231450 = 23252731323433
BaseRepresentation
bin10010100111000101…
…111110100111011010
31220120122222100010100
4102213011332213122
5311411201401300
613102530000230
71305126444000
oct224705764732
956518870110
1019983231450
118525016616
123a58416076
131b66086310
14d77d9ca70
157be557700
hex4a717e9da

19983231450 has 576 divisors, whose sum is σ = 70520486400. Its totient is φ = 4023613440.

The previous prime is 19983231419. The next prime is 19983231461. The reversal of 19983231450 is 5413238991.

It is a happy number.

19983231450 is a `hidden beast` number, since 1 + 99 + 83 + 2 + 31 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19983231396 and 19983231405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46150434 + ... + 46150866.

It is an arithmetic number, because the mean of its divisors is an integer number (122431400).

Almost surely, 219983231450 is an apocalyptic number.

19983231450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19983231450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35260243200).

19983231450 is an abundant number, since it is smaller than the sum of its proper divisors (50537254950).

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

19983231450 is a wasteful number, since it uses less digits than its factorization.

19983231450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19983231450 in words is "nineteen billion, nine hundred eighty-three million, two hundred thirty-one thousand, four hundred fifty".