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299691684864 = 21034112132297
BaseRepresentation
bin1000101110001110000…
…01000011010000000000
31001122120000202222220000
410113013001003100000
514402232032403424
6345402040520000
730436432201365
oct4270701032000
91048500688800
10299691684864
1110610a163600
124a0ba180000
1322350cac110
141071020646c
157be05ab3c9
hex45c7043400

299691684864 has 660 divisors, whose sum is σ = 1059821959812. Its totient is φ = 83793346560.

The previous prime is 299691684839. The next prime is 299691684871. The reversal of 299691684864 is 468486196992.

299691684864 is a `hidden beast` number, since 29 + 9 + 69 + 1 + 68 + 486 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88680075264 + 211011609600 = 297792^2 + 459360^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 299691684792 and 299691684801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 130469764 + ... + 130472060.

Almost surely, 2299691684864 is an apocalyptic number.

299691684864 is a gapful number since it is divisible by the number (24) 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 299691684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529910979906).

299691684864 is an abundant number, since it is smaller than the sum of its proper divisors (760130274948).

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

299691684864 is a wasteful number, since it uses less digits than its factorization.

299691684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2326 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 299691684864 in words is "two hundred ninety-nine billion, six hundred ninety-one million, six hundred eighty-four thousand, eight hundred sixty-four".