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2474816680 = 235718894679
BaseRepresentation
bin1001001110000010…
…1011010010101000
320101110210201021001
42103200223102220
520032023113210
61045323524344
7115220410660
oct22340532250
96343721231
102474816680
11105aa73446
125909896b4
1330595298b
141969771a0
15e740403a
hex9382b4a8

2474816680 has 64 divisors (see below), whose sum is σ = 6368544000. Its totient is φ = 847878144.

The previous prime is 2474816677. The next prime is 2474816713. The reversal of 2474816680 is 866184742.

It is a super-2 number, since 2×24748166802 = 12249435199212444800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2474816680.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 526581 + ... + 531259.

It is an arithmetic number, because the mean of its divisors is an integer number (99508500).

Almost surely, 22474816680 is an apocalyptic number.

2474816680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2474816680 is an abundant number, since it is smaller than the sum of its proper divisors (3893727320).

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

2474816680 is a wasteful number, since it uses less digits than its factorization.

2474816680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 2474816680 is about 49747.5293858901. The cubic root of 2474816680 is about 1352.6362168523.

The spelling of 2474816680 in words is "two billion, four hundred seventy-four million, eight hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1889 3778 4679 7556 9358 9445 13223 15112 18716 18890 23395 26446 32753 37432 37780 46790 52892 65506 66115 75560 93580 105784 131012 132230 163765 187160 262024 264460 327530 528920 655060 1310120 8838631 17677262 35354524 44193155 61870417 70709048 88386310 123740834 176772620 247481668 309352085 353545240 494963336 618704170 1237408340 2474816680