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6946728048 = 2433131236953
BaseRepresentation
bin1100111100000111…
…01010100001110000
3122221010111100102000
412132003222201300
5103211330244143
63105152254000
7334101133311
oct63603524160
918833440360
106946728048
112a45279667
12141a541300
13869273490
1449c850608
152a9ce4bd3
hex19e0ea870

6946728048 has 80 divisors (see below), whose sum is σ = 21473521440. Its totient is φ = 2137453056.

The previous prime is 6946728029. The next prime is 6946728083. The reversal of 6946728048 is 8408276496.

6946728048 is a `hidden beast` number, since 69 + 467 + 2 + 80 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6946727985 and 6946728003.

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, 612861 + ... + 624092.

It is an arithmetic number, because the mean of its divisors is an integer number (268419018).

Almost surely, 26946728048 is an apocalyptic number.

It is an amenable number.

6946728048 is an abundant number, since it is smaller than the sum of its proper divisors (14526793392).

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

6946728048 is a wasteful number, since it uses less digits than its factorization.

6946728048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236983 (or 1236971 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6946728048 is about 83347.0338284453. The cubic root of 6946728048 is about 1908.0661738846.

The spelling of 6946728048 in words is "six billion, nine hundred forty-six million, seven hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 1236953 2473906 3710859 4947812 7421718 9895624 11132577 14843436 16080389 19791248 22265154 29686872 32160778 33397731 44530308 48241167 59373744 64321556 66795462 89060616 96482334 128643112 133590924 144723501 178121232 192964668 257286224 267181848 289447002 385929336 434170503 534363696 578894004 771858672 868341006 1157788008 1736682012 2315576016 3473364024 6946728048