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299861379216 = 243472412532
BaseRepresentation
bin1000101110100010010…
…00011000100010010000
31001122222212002100210000
410113101020120202100
514403104003113331
6345430542010000
730443562445200
oct4272110304220
91048885070700
10299861379216
11106196a27473
124a146b76900
132237a1b5289
141072897a400
157c0042b0e6
hex45d1218890

299861379216 has 675 divisors, whose sum is σ = 1054699026843. Its totient is φ = 82007976960.

The previous prime is 299861379199. The next prime is 299861379217. The reversal of 299861379216 is 612973168992.

The square root of 299861379216 is 547596.

It is a perfect power (a square), and thus also a powerful number.

299861379216 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 613 + 7 + 9 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32464832400 + 267396546816 = 180180^2 + 517104^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (299861379217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5657761846 + ... + 5657761898.

Almost surely, 2299861379216 is an apocalyptic number.

299861379216 is the 547596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299861379216

299861379216 is an abundant number, since it is smaller than the sum of its proper divisors (754837647627).

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

299861379216 is an equidigital number, since it uses as much as digits as its factorization.

299861379216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 106 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 299861379216 in words is "two hundred ninety-nine billion, eight hundred sixty-one million, three hundred seventy-nine thousand, two hundred sixteen".