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6866705620 = 22517173116741
BaseRepresentation
bin1100110010100100…
…11001110011010100
3122201112220210021101
412121102121303110
5103030334034440
63053213155444
7332110014625
oct63122316324
918645823241
106866705620
112a04092625
1213b778bb84
13855805b28
14491d7da4c
152a2c8969a
hex199499cd4

6866705620 has 48 divisors (see below), whose sum is σ = 15356709648. Its totient is φ = 2570147840.

The previous prime is 6866705617. The next prime is 6866705639. The reversal of 6866705620 is 265076686.

It can be written as a sum of positive squares in 8 ways, for example, as 394181316 + 6472524304 = 19854^2 + 80452^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 450 + ... + 117190.

It is an arithmetic number, because the mean of its divisors is an integer number (319931451).

Almost surely, 26866705620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6866705620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678354824).

6866705620 is an abundant number, since it is smaller than the sum of its proper divisors (8490004028).

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

6866705620 is a wasteful number, since it uses less digits than its factorization.

6866705620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116940 (or 116938 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 6866705620 is about 82865.5876706368. The cubic root of 6866705620 is about 1900.7112406482.

The spelling of 6866705620 in words is "six billion, eight hundred sixty-six million, seven hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 340 346 692 865 1730 2941 3460 5882 11764 14705 29410 58820 116741 233482 466964 583705 1167410 1984597 2334820 3969194 7938388 9922985 19845970 20196193 39691940 40392386 80784772 100980965 201961930 343335281 403923860 686670562 1373341124 1716676405 3433352810 6866705620