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684845622916 = 227213245472
BaseRepresentation
bin10011111011100111111…
…10101110011010000100
32102110201001212021111121
421331303332232122010
542210030434413131
61242340322243324
7100323053514100
oct11756376563204
92373631767447
10684845622916
11244494555914
12b08894b6544
134c77194b900
142520a7b6900
1512c3394b911
hex9f73fae684

684845622916 has 81 divisors (see below), whose sum is σ = 1509973816869. Its totient is φ = 270868354848.

The previous prime is 684845622893. The next prime is 684845622941. The reversal of 684845622916 is 619226548486.

It is a happy number.

The square root of 684845622916 is 827554.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101308524100 + 583537098816 = 318290^2 + 763896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150612555 + ... + 150617101.

Almost surely, 2684845622916 is an apocalyptic number.

684845622916 is the 827554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684845622916

684845622916 is an abundant number, since it is smaller than the sum of its proper divisors (825128193953).

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

684845622916 is an equidigital number, since it uses as much as digits as its factorization.

684845622916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 4569 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 61.

The spelling of 684845622916 in words is "six hundred eighty-four billion, eight hundred forty-five million, six hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4547 4732 8281 9094 16562 18188 31829 33124 59111 63658 118222 127316 222803 236444 413777 445606 768443 827554 891212 1536886 1655108 2896439 3073772 5379101 5792878 10758202 11585756 20675209 21516404 37653707 41350418 75307414 82700836 144726463 150614828 268777717 289452926 537555434 578905852 1013085241 1075110868 1881444019 2026170482 3494110321 3762888038 4052340964 6988220642 7525776076 13170108133 13976441284 24458772247 26340216266 48917544494 52680432532 97835088988 171211405729 342422811458 684845622916