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331657316540 = 2251113911939091
BaseRepresentation
bin1001101001110000101…
…00010000100010111100
31011201001202202100000022
410310320110100202330
520413213233112130
6412210011151312
732650530451004
oct4647024204274
91151052670008
10331657316540
111187229aa820
125433b445538
1325376677184
14120a3721004
158961a597e5
hex4d385108bc

331657316540 has 96 divisors (see below), whose sum is σ = 765988634880. Its totient is φ = 119621491200.

The previous prime is 331657316461. The next prime is 331657316561. The reversal of 331657316540 is 45613756133.

It is a super-2 number, since 2×3316573165402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 331657316491 and 331657316500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36477395 + ... + 36486485.

It is an arithmetic number, because the mean of its divisors is an integer number (7979048280).

Almost surely, 2331657316540 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 331657316540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382994317440).

331657316540 is an abundant number, since it is smaller than the sum of its proper divisors (434331318340).

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

331657316540 is a wasteful number, since it uses less digits than its factorization.

331657316540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10443 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 331657316540 in words is "three hundred thirty-one billion, six hundred fifty-seven million, three hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 556 695 1193 1390 1529 2386 2780 3058 4772 5965 6116 7645 9091 11930 13123 15290 18182 23860 26246 30580 36364 45455 52492 65615 90910 100001 131230 165827 181820 200002 262460 331654 400004 500005 663308 829135 1000010 1263649 1658270 1824097 2000020 2527298 3316540 3648194 5054596 6318245 7296388 9120485 10845563 12636490 13900139 18240970 21691126 25272980 27800278 36481940 43382252 54227815 55600556 69500695 108455630 119301193 139001390 216911260 238602386 278002780 477204772 596505965 1193011930 1507533257 2386023860 3015066514 6030133028 7537666285 15075332570 16582865827 30150665140 33165731654 66331463308 82914329135 165828658270 331657316540