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6706707876 = 22331117332081
BaseRepresentation
bin1100011111100000…
…00011110110100100
3122022101212001122000
412033300003312210
5102213404123001
63025300005300
7325125035121
oct61760036644
918271761560
106706707876
112931841990
121372090830
1382b6163cb
14478a11748
15293bd2a86
hex18fc03da4

6706707876 has 96 divisors (see below), whose sum is σ = 20084319360. Its totient is φ = 1912780800.

The previous prime is 6706707869. The next prime is 6706707919. The reversal of 6706707876 is 6787076076.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145845 + ... + 186236.

It is an arithmetic number, because the mean of its divisors is an integer number (209211660).

It is the magic constant of a 2376 × 2376 magic square.

Almost surely, 26706707876 is an apocalyptic number.

6706707876 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6706707876 is an abundant number, since it is smaller than the sum of its proper divisors (13377611484).

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

6706707876 is a wasteful number, since it uses less digits than its factorization.

6706707876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332122 (or 332114 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The square root of 6706707876 is about 81894.4923422815. The cubic root of 6706707876 is about 1885.8325610879.

The spelling of 6706707876 in words is "six billion, seven hundred six million, seven hundred seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 332081 664162 996243 1328324 1992486 2988729 3652891 3984972 5645377 5977458 7305782 8966187 10958673 11290754 11954916 14611564 16936131 17932374 21917346 22581508 32876019 33872262 35864748 43834692 50808393 62099147 65752038 67744524 98628057 101616786 124198294 131504076 152425179 186297441 197256114 203233572 248396588 304850358 372594882 394512228 558892323 609700716 745189764 1117784646 1676676969 2235569292 3353353938 6706707876