Search a number
-
+
683485799824 = 2429271272
BaseRepresentation
bin10011111001000101110…
…11011010010110010000
32102100012022010002220101
421330202323122112100
542144234331043244
61241553344422144
7100244262304222
oct11744273322620
92370168102811
10683485799824
11243956a08683
12b056a017954
134c5b5cc9369
142511bd62412
1512ba43910d4
hex9f22eda590

683485799824 has 45 divisors (see below), whose sum is σ = 1371684740257. Its totient is φ = 329912364992.

The previous prime is 683485799809. The next prime is 683485799839. The reversal of 683485799824 is 428997584386.

The square root of 683485799824 is 826732.

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

683485799824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (683485799809) and next prime (683485799839).

It can be written as a sum of positive squares in only one way, i.e., 358403374224 + 325082425600 = 598668^2 + 570160^2 .

It is a super-2 number, since 2×6834857998242 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95897349 + ... + 95904475.

Almost surely, 2683485799824 is an apocalyptic number.

683485799824 is the 826732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683485799824

683485799824 is an abundant number, since it is smaller than the sum of its proper divisors (688198940433).

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

683485799824 is an frugal number, since it uses more digits than its factorization.

683485799824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 7158 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 73.

The spelling of 683485799824 in words is "six hundred eighty-three billion, four hundred eighty-five million, seven hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 7127 13456 14254 28508 57016 114032 206683 413366 826732 1653464 3306928 5993807 11987614 23975228 47950456 50794129 95900912 101588258 203176516 406353032 812706064 1473029741 2946059482 5892118964 11784237928 23568475856 42717862489 85435724978 170871449956 341742899912 683485799824