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6706706688 = 2839113
BaseRepresentation
bin1100011111100000…
…00011100100000000
3122022101212000000000
412033300003210000
5102213404103223
63025300000000
7325125031503
oct61760034400
918271760000
106706706688
112931841000
121372090000
1382b6159c6
14478a1113a
15293bd2543
hex18fc03900

6706706688 has 360 divisors, whose sum is σ = 22087022496. Its totient is φ = 2032335360.

The previous prime is 6706706683. The next prime is 6706706693. The reversal of 6706706688 is 8866076076.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (6706706683) and next prime (6706706693).

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

It is not an unprimeable number, because it can be changed into a prime (6706706683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609700603 + ... + 609700613.

Almost surely, 26706706688 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 6706706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043511248).

6706706688 is an abundant number, since it is smaller than the sum of its proper divisors (15380315808).

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

6706706688 is an frugal number, since it uses more digits than its factorization.

6706706688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 6706706688 is about 81894.4850890461. The cubic root of 6706706688 is about 1885.8324497382.

Multiplying 6706706688 by its sum of digits (54), we get a cube (362162161152 = 71283).

The spelling of 6706706688 in words is "six billion, seven hundred six million, seven hundred six thousand, six hundred eighty-eight".