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2986670273664 = 273711101010223
BaseRepresentation
bin101011011101100011011…
…010111011010010000000
3101120112010012001000111010
4223131203122323102000
5342413200042224124
610204020221120520
7425531321311140
oct53354332732200
911515105030433
102986670273664
11a51704564020
12402a059b9140
13188846052b7c
14a47ac85a920
1552a543b0529
hex2b7636bb480

2986670273664 has 128 divisors (see below), whose sum is σ = 9890921134080. Its totient is φ = 775758504960.

The previous prime is 2986670273617. The next prime is 2986670273689. The reversal of 2986670273664 is 4663720766892.

2986670273664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2986670273595 and 2986670273604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50475544 + ... + 50534679.

It is an arithmetic number, because the mean of its divisors is an integer number (77272821360).

Almost surely, 22986670273664 is an apocalyptic number.

2986670273664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2986670273664 is an abundant number, since it is smaller than the sum of its proper divisors (6904250860416).

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

2986670273664 is a wasteful number, since it uses less digits than its factorization.

2986670273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101010258 (or 101010246 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 2986670273664 in words is "two trillion, nine hundred eighty-six billion, six hundred seventy million, two hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 101010223 202020446 303030669 404040892 606061338 707071561 808081784 1111112453 1212122676 1414143122 1616163568 2121214683 2222224906 2424245352 2828286244 3232327136 3333337359 4242429366 4444449812 4848490704 5656572488 6464654272 6666674718 7777787171 8484858732 8888899624 9696981408 11313144976 12929308544 13333349436 15555574342 16969717464 17777799248 19393962816 22626289952 23333361513 26666698872 31111148684 33939434928 35555598496 38787925632 45252579904 46666723026 53333397744 62222297368 67878869856 71111196992 90505159808 93333446052 106666795488 124444594736 135757739712 142222393984 186666892104 213333590976 248889189472 271515479424 373333784208 426667181952 497778378944 746667568416 995556757888 1493335136832 2986670273664