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1999318464 = 263511132931
BaseRepresentation
bin111011100101011…
…0010110111000000
312011100001220100000
41313022302313000
513043311142324
6530220200000
7100354632543
oct16712626700
95140056300
101999318464
11936621610
12479699000
1325b2990a0
1414d75c85a
15ba7ca9c9
hex772b2dc0

1999318464 has 672 divisors, whose sum is σ = 7455651840. Its totient is φ = 522547200.

The previous prime is 1999318457. The next prime is 1999318471. The reversal of 1999318464 is 4648139991.

It is a happy number.

1999318464 is a `hidden beast` number, since 1 + 99 + 93 + 1 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (1999318457) and next prime (1999318471).

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 self number, because there is not a number n which added to its sum of digits gives 1999318464.

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, 64494129 + ... + 64494159.

It is an arithmetic number, because the mean of its divisors is an integer number (11094720).

Almost surely, 21999318464 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 1999318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727825920).

1999318464 is an abundant number, since it is smaller than the sum of its proper divisors (5456333376).

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

1999318464 is a wasteful number, since it uses less digits than its factorization.

1999318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1999318464 is about 44713.7390966132. The cubic root of 1999318464 is about 1259.7779200435. Note that the first 3 decimals are identical.

The spelling of 1999318464 in words is "one billion, nine hundred ninety-nine million, three hundred eighteen thousand, four hundred sixty-four".