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686812672 = 2971314741
BaseRepresentation
bin101000111011111…
…110111000000000
31202212100200212101
4220323332320000
52401311001142
6152052440144
723006545210
oct5073767000
91685320771
10686812672
11322762587
12172019054
13ac3a2b40
1467304240
154046a0b7
hex28efee00

686812672 has 80 divisors (see below), whose sum is σ = 1689079392. Its totient is φ = 271687680.

The previous prime is 686812667. The next prime is 686812681. The reversal of 686812672 is 276218686.

686812672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39222 + ... + 53962.

Almost surely, 2686812672 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 686812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844539696).

686812672 is an abundant number, since it is smaller than the sum of its proper divisors (1002266720).

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

686812672 is a wasteful number, since it uses less digits than its factorization.

686812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14763 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 686812672 is about 26207.1110960365. Note that the first 3 decimals coincide. The cubic root of 686812672 is about 882.2928636687.

The spelling of 686812672 in words is "six hundred eighty-six million, eight hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 14741 23296 29482 46592 58964 103187 117928 191633 206374 235856 383266 412748 471712 766532 825496 943424 1341431 1533064 1650992 1886848 2682862 3066128 3301984 3773696 5365724 6132256 6603968 7547392 10731448 12264512 13207936 21462896 24529024 26415872 42925792 49058048 52831744 85851584 98116096 171703168 343406336 686812672