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1679129856 = 28323719697
BaseRepresentation
bin110010000010101…
…0111110100000000
311100000120122010200
41210011113310000
511414324123411
6434341325200
756416240215
oct14405276400
94300518120
101679129856
11791909128
123aa406800
13209b50081
1411d011b0c
159c62ee56
hex64157d00

1679129856 has 108 divisors (see below), whose sum is σ = 4972444932. Its totient is φ = 544555008.

The previous prime is 1679129779. The next prime is 1679129863. The reversal of 1679129856 is 6589219761.

It can be written as a sum of positive squares in 2 ways, for example, as 877107456 + 802022400 = 29616^2 + 28320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75400 + ... + 95096.

Almost surely, 21679129856 is an apocalyptic number.

1679129856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486222466).

1679129856 is an abundant number, since it is smaller than the sum of its proper divisors (3293315076).

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

1679129856 is a wasteful number, since it uses less digits than its factorization.

1679129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19756 (or 19739 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1679129856 is about 40977.1870191208. The cubic root of 1679129856 is about 1188.5791143135.

The spelling of 1679129856 in words is "one billion, six hundred seventy-nine million, one hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 576 592 666 768 888 1152 1184 1332 1776 2304 2368 2664 3552 4736 5328 7104 9472 10656 14208 19697 21312 28416 39394 42624 59091 78788 85248 118182 157576 177273 236364 315152 354546 472728 630304 709092 728789 945456 1260608 1418184 1457578 1890912 2186367 2521216 2836368 2915156 3781824 4372734 5042432 5672736 5830312 6559101 7563648 8745468 11345472 11660624 13118202 15127296 17490936 22690944 23321248 26236404 34981872 45381888 46642496 52472808 69963744 93284992 104945616 139927488 186569984 209891232 279854976 419782464 559709952 839564928 1679129856