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4196801280 = 28357156131
BaseRepresentation
bin1111101000100110…
…0001101100000000
3101211111000121001110
43322021201230000
532043340120110
61532240003320
7206000136150
oct37211415400
911744017043
104196801280
111863a91a11
12991600540
1351b628a89
142bb542760
1519869ba20
hexfa261b00

4196801280 has 144 divisors (see below), whose sum is σ = 15318422784. Its totient is φ = 959262720.

The previous prime is 4196801269. The next prime is 4196801309. The reversal of 4196801280 is 821086914.

It is a super-2 number, since 2×41968012802 = 35226281967619276800, which contains 22 as substring.

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, 51186 + ... + 104945.

It is an arithmetic number, because the mean of its divisors is an integer number (106377936).

Almost surely, 24196801280 is an apocalyptic number.

4196801280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4196801280 is an abundant number, since it is smaller than the sum of its proper divisors (11121621504).

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

4196801280 is a wasteful number, since it uses less digits than its factorization.

4196801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156162 (or 156148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 4196801280 is about 64782.7236228919. The cubic root of 4196801280 is about 1613.0189462455.

The spelling of 4196801280 in words is "four billion, one hundred ninety-six million, eight hundred one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 156131 312262 468393 624524 780655 936786 1092917 1249048 1561310 1873572 2185834 2341965 2498096 3122620 3278751 3747144 4371668 4683930 4996192 5464585 6245240 6557502 7494288 8743336 9367860 9992384 10929170 12490480 13115004 14988576 16393755 17486672 18735720 19984768 21858340 24980960 26230008 29977152 32787510 34973344 37471440 39969536 43716680 49961920 52460016 59954304 65575020 69946688 74942880 87433360 99923840 104920032 119908608 131150040 139893376 149885760 174866720 199847680 209840064 262300080 279786752 299771520 349733440 419680128 524600160 599543040 699466880 839360256 1049200320 1398933760 2098400640 4196801280