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6906674385 = 345138811489
BaseRepresentation
bin1100110111010101…
…10111110011010001
3122211100010102010000
412123222313303101
5103121102040020
63101202000213
7333103522632
oct63352676321
918740112100
106906674385
112a24701766
121409046069
13860b8b3a0
144973c5889
152a6532090
hex19bab7cd1

6906674385 has 80 divisors (see below), whose sum is σ = 13357325520. Its totient is φ = 3394068480.

The previous prime is 6906674353. The next prime is 6906674399. The reversal of 6906674385 is 5834766096.

It can be written as a sum of positive squares in 8 ways, for example, as 2170069056 + 4736605329 = 46584^2 + 68823^2 .

It is not a de Polignac number, because 6906674385 - 25 = 6906674353 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4637721 + ... + 4639209.

It is an arithmetic number, because the mean of its divisors is an integer number (166966569).

Almost surely, 26906674385 is an apocalyptic number.

6906674385 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6906674385 is a deficient number, since it is larger than the sum of its proper divisors (6450651135).

6906674385 is a wasteful number, since it uses less digits than its factorization.

6906674385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6906674385 is about 83106.4039951194. The cubic root of 6906674385 is about 1904.3919070962.

The spelling of 6906674385 in words is "six billion, nine hundred six million, six hundred seventy-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 881 1053 1489 1755 2643 4405 4467 5265 7445 7929 11453 13215 13401 19357 22335 23787 34359 39645 40203 57265 58071 67005 71361 96785 103077 118935 120609 171795 174213 201015 290355 309231 356805 515385 522639 603045 871065 927693 1311809 1546155 1567917 2613195 3935427 4638465 6559045 7839585 11806281 17053517 19677135 35418843 51160551 59031405 85267585 106256529 153481653 177094215 255802755 460444959 531282645 767408265 1381334877 2302224795 6906674385