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4798816416 = 253223724459
BaseRepresentation
bin1000111100000100…
…00010000010100000
3110101102211010120100
410132002002002200
534311444111131
62112103142400
7226630160262
oct43602020240
913342733510
104798816416
112042896889
12b1b144a00
135b627b954
14337491b32
151d14667e6
hex11e0820a0

4798816416 has 72 divisors (see below), whose sum is σ = 14239985760. Its totient is φ = 1530055296.

The previous prime is 4798816411. The next prime is 4798816433. The reversal of 4798816416 is 6146188974.

4798816416 is a `hidden beast` number, since 479 + 8 + 8 + 164 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4798816411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355606 + ... + 368853.

It is an arithmetic number, because the mean of its divisors is an integer number (197777580).

Almost surely, 24798816416 is an apocalyptic number.

4798816416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4798816416 is an abundant number, since it is smaller than the sum of its proper divisors (9441169344).

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

4798816416 is a wasteful number, since it uses less digits than its factorization.

4798816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724498 (or 724487 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4798816416 is about 69273.4899943694. The cubic root of 4798816416 is about 1686.7266701215.

The spelling of 4798816416 in words is "four billion, seven hundred ninety-eight million, eight hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 724459 1448918 2173377 2897836 4346754 5795672 6520131 8693508 11591344 13040262 16662557 17387016 23182688 26080524 33325114 34774032 49987671 52161048 66650228 69548064 99975342 104322096 133300456 149963013 199950684 208644192 266600912 299926026 399901368 533201824 599852052 799802736 1199704104 1599605472 2399408208 4798816416