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212051507640 = 23357421759863
BaseRepresentation
bin1100010101111101000…
…0010011100110111000
3202021100020022201001020
43011133100103212320
511433240141221030
6241225355422440
721214556034540
oct3053720234670
9667306281036
10212051507640
1181a26603275
123511b754a20
1316cc504939b
14a3988aa320
1557b14bb510
hex315f4139b8

212051507640 has 128 divisors (see below), whose sum is σ = 727218293760. Its totient is φ = 48456612864.

The previous prime is 212051507639. The next prime is 212051507677. The reversal of 212051507640 is 46705150212.

212051507640 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3512349 + ... + 3572211.

It is an arithmetic number, because the mean of its divisors is an integer number (5681392920).

Almost surely, 2212051507640 is an apocalyptic number.

212051507640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212051507640 is an abundant number, since it is smaller than the sum of its proper divisors (515166786120).

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

212051507640 is a wasteful number, since it uses less digits than its factorization.

212051507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64101 (or 64097 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 212051507640 its reverse (46705150212), we get a palindrome (258756657852).

The spelling of 212051507640 in words is "two hundred twelve billion, fifty-one million, five hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4217 8434 12651 16868 21085 25302 29519 33736 42170 50604 59038 59863 63255 84340 88557 101208 118076 119726 126510 147595 168680 177114 179589 236152 239452 253020 295190 299315 354228 359178 419041 442785 478904 506040 590380 598630 708456 718356 838082 885570 897945 1180760 1197260 1257123 1436712 1676164 1771140 1795890 2095205 2394520 2514246 3352328 3542280 3591780 4190410 5028492 6285615 7183560 8380820 10056984 12571230 16761640 25142460 50284920 252442271 504884542 757326813 1009769084 1262211355 1514653626 1767095897 2019538168 2524422710 3029307252 3534191794 3786634065 5048845420 5301287691 6058614504 7068383588 7573268130 8835479485 10097690840 10602575382 14136767176 15146536260 17670958970 21205150764 26506438455 30293072520 35341917940 42410301528 53012876910 70683835880 106025753820 212051507640