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11316516820 = 22571715131489
BaseRepresentation
bin10101000101000010…
…00101011111010100
31002012200000121200121
422202201011133110
5141134012014240
65110532121324
7550301543260
oct124241053724
932180017617
1011316516820
114887973644
122239a66244
1310b46892cb
14794d430a0
1546376204a
hex2a28457d4

11316516820 has 96 divisors (see below), whose sum is σ = 28948631040. Its totient is φ = 3627417600.

The previous prime is 11316516817. The next prime is 11316516847. The reversal of 11316516820 is 2861561311.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 343636 + ... + 375124.

It is an arithmetic number, because the mean of its divisors is an integer number (301548240).

Almost surely, 211316516820 is an apocalyptic number.

11316516820 is a gapful number since it is divisible by the number (10) 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 11316516820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474315520).

11316516820 is an abundant number, since it is smaller than the sum of its proper divisors (17632114220).

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

11316516820 is a wasteful number, since it uses less digits than its factorization.

11316516820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31673 (or 31671 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 11316516820 in words is "eleven billion, three hundred sixteen million, five hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 151 170 238 302 340 476 595 604 755 1057 1190 1510 2114 2380 2567 3020 4228 5134 5285 10268 10570 12835 17969 21140 25670 31489 35938 51340 62978 71876 89845 125956 157445 179690 220423 314890 359380 440846 535313 629780 881692 1070626 1102115 2141252 2204230 2676565 3747191 4408460 4754839 5353130 7494382 9509678 10706260 14988764 18735955 19019356 23774195 33283873 37471910 47548390 66567746 74943820 80832263 95096780 133135492 161664526 166419365 323329052 332838730 404161315 565825841 665677460 808322630 1131651682 1616645260 2263303364 2829129205 5658258410 11316516820