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685735916992 = 2677129097411
BaseRepresentation
bin10011111101010010000…
…10111011010111000000
32102120000010002220101021
421332221002323113000
542213341343320432
61243004524315224
7100354114056460
oct11765102732700
92376003086337
10685735916992
11244901058a45
12b0a976a2b14
134c884227539
1425292b27ba0
1512c86bac697
hex9fa90bb5c0

685735916992 has 112 divisors (see below), whose sum is σ = 1577809635840. Its totient is φ = 289608883200.

The previous prime is 685735916951. The next prime is 685735916993. The reversal of 685735916992 is 299619537586.

685735916992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6857359169922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685735916993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92525767 + ... + 92533177.

Almost surely, 2685735916992 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 685735916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788904817920).

685735916992 is an abundant number, since it is smaller than the sum of its proper divisors (892073718848).

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

685735916992 is a wasteful number, since it uses less digits than its factorization.

685735916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410 (or 10400 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 70.

The spelling of 685735916992 in words is "six hundred eighty-five billion, seven hundred thirty-five million, nine hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 2909 3976 4544 5818 7411 7952 11636 14822 15904 20363 23272 29644 31808 40726 46544 51877 59288 81452 93088 103754 118576 162904 186176 206539 207508 237152 325808 413078 415016 474304 526181 651616 826156 830032 1052362 1303232 1445773 1652312 1660064 2104724 2891546 3304624 3320128 3683267 4209448 5783092 6609248 7366534 8418896 11566184 13218496 14733068 16837792 21558599 23132368 29466136 33675584 43117198 46264736 58932272 86234396 92529472 117864544 150910193 172468792 235729088 301820386 344937584 603640772 689875168 1207281544 1379750336 1530660529 2414563088 3061321058 4829126176 6122642116 9658252352 10714623703 12245284232 21429247406 24490568464 42858494812 48981136928 85716989624 97962273856 171433979248 342867958496 685735916992