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47213303407680 = 2635107459631069
BaseRepresentation
bin10101011110000101101000…
…01011011010010001000000
320012011112210021212210202010
422233002310023122101000
522142020321133021210
6244225254150052520
712642022446260124
oct1257026413322100
9205145707783663
1047213303407680
111405305aa1a713
12536630794a140
132046270405b07
14b931c957b584
1556d1d6775920
hex2af0b42da440

47213303407680 has 112 divisors (see below), whose sum is σ = 151303194146880. Its totient is φ = 12472548661248.

The previous prime is 47213303407637. The next prime is 47213303407703. The reversal of 47213303407680 is 8670430331274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229712815 + ... + 229918254.

Almost surely, 247213303407680 is an apocalyptic number.

47213303407680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47213303407680 is an abundant number, since it is smaller than the sum of its proper divisors (104089890739200).

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

47213303407680 is a wasteful number, since it uses less digits than its factorization.

47213303407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459631196 (or 459631186 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 47213303407680 in words is "forty-seven trillion, two hundred thirteen billion, three hundred three million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 960 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 17120 20544 25680 34240 51360 102720 459631069 919262138 1378893207 1838524276 2298155345 2757786414 3677048552 4596310690 5515572828 6894466035 7354097104 9192621380 11031145656 13788932070 14708194208 18385242760 22062291312 27577864140 29416388416 36770485520 44124582624 49180524383 55155728280 73540971040 88249165248 98361048766 110311456560 147081942080 147541573149 196722097532 220622913120 245902621915 295083146298 393444195064 441245826240 491805243830 590166292596 737707865745 786888390128 983610487660 1180332585192 1475415731490 1573776780256 1967220975320 2360665170384 2950831462980 3147553560512 3934441950640 4721330340768 5901662925960 7868883901280 9442660681536 11803325851920 15737767802560 23606651703840 47213303407680