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196696656 = 243213179587
BaseRepresentation
bin10111011100101…
…01101001010000
3111201010020002100
423232111221100
5400323243111
631303520400
74605615432
oct1356255120
9451106070
10196696656
11a1037122
1255a59100
133199b870
141c1a2652
1512405756
hexbb95a50

196696656 has 120 divisors (see below), whose sum is σ = 597149280. Its totient is φ = 60081408.

The previous prime is 196696651. The next prime is 196696679. The reversal of 196696656 is 656696691.

It is a happy number.

196696656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196696651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334795 + ... + 335381.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2196696656 is an apocalyptic number.

196696656 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 196696656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298574640).

196696656 is an abundant number, since it is smaller than the sum of its proper divisors (400452624).

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

196696656 is a wasteful number, since it uses less digits than its factorization.

196696656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 784 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 196696656 is about 14024.8585019600. The cubic root of 196696656 is about 581.5659781800.

The spelling of 196696656 in words is "one hundred ninety-six million, six hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 179 208 234 312 358 468 537 587 624 716 936 1074 1174 1432 1611 1761 1872 2148 2327 2348 2864 3222 3522 4296 4654 4696 5283 6444 6981 7044 7631 8592 9308 9392 10566 12888 13962 14088 15262 18616 20943 21132 22893 25776 27924 28176 30524 37232 41886 42264 45786 55848 61048 68679 83772 84528 91572 105073 111696 122096 137358 167544 183144 210146 274716 315219 335088 366288 420292 549432 630438 840584 945657 1098864 1260876 1365949 1681168 1891314 2521752 2731898 3782628 4097847 5043504 5463796 7565256 8195694 10927592 12293541 15130512 16391388 21855184 24587082 32782776 49174164 65565552 98348328 196696656