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2127681064300 = 2252117924484247
BaseRepresentation
bin11110111101100011101…
…011001000110101101100
321112101220202021221211111
4132331203223020311230
5234324442323024200
64305235421201404
7306501630433651
oct36754353106554
97471822257744
102127681064300
11750387546230
122a4438100264
13125840b93bac
1474da1d9bc28
153a52c47e0ba
hex1ef63ac8d6c

2127681064300 has 72 divisors (see below), whose sum is σ = 5100558543360. Its totient is φ = 763908475200.

The previous prime is 2127681064297. The next prime is 2127681064321. The reversal of 2127681064300 is 34601867212.

It is a super-2 number, since 2×21276810643002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12155224 + ... + 12329023.

It is an arithmetic number, because the mean of its divisors is an integer number (70841090880).

Almost surely, 22127681064300 is an apocalyptic number.

2127681064300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127681064300 is an abundant number, since it is smaller than the sum of its proper divisors (2972877479060).

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

2127681064300 is a wasteful number, since it uses less digits than its factorization.

2127681064300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484351 (or 24484344 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 2127681064300 in words is "two trillion, one hundred twenty-seven billion, six hundred eighty-one million, sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 17380 21725 43450 86900 24484247 48968494 97936988 122421235 244842470 269326717 489684940 538653434 612106175 1077306868 1224212350 1346633585 1934255513 2448424700 2693267170 3868511026 5386534340 6733167925 7737022052 9671277565 13466335850 19342555130 21276810643 26932671700 38685110260 42553621286 48356387825 85107242572 96712775650 106384053215 193425551300 212768106430 425536212860 531920266075 1063840532150 2127681064300