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212705371520 = 2752571293199
BaseRepresentation
bin1100011000011000111…
…0100110010110000000
3202100000210200102122222
43012012032212112000
511441110033342040
6241414314150212
721240015553325
oct3060616462600
9670023612588
10212705371520
1182231700944
1235282722368
131709a653ca5
14a41b674b4c
1557edac8bb5
hex31863a6580

212705371520 has 64 divisors (see below), whose sum is σ = 510477768000. Its totient is φ = 84751024128.

The previous prime is 212705371429. The next prime is 212705371537. The reversal of 212705371520 is 25173507212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2127053715202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482120 + ... + 811079.

It is an arithmetic number, because the mean of its divisors is an integer number (7976215125).

Almost surely, 2212705371520 is an apocalyptic number.

212705371520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212705371520 is an abundant number, since it is smaller than the sum of its proper divisors (297772396480).

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

212705371520 is a wasteful number, since it uses less digits than its factorization.

212705371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293475 (or 1293463 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

Adding to 212705371520 its reverse (25173507212), we get a palindrome (237878878732).

The spelling of 212705371520 in words is "two hundred twelve billion, seven hundred five million, three hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 257 320 514 640 1028 1285 2056 2570 4112 5140 8224 10280 16448 20560 32896 41120 82240 164480 1293199 2586398 5172796 6465995 10345592 12931990 20691184 25863980 41382368 51727960 82764736 103455920 165529472 206911840 332352143 413823680 664704286 827647360 1329408572 1661760715 2658817144 3323521430 5317634288 6647042860 10635268576 13294085720 21270537152 26588171440 42541074304 53176342880 106352685760 212705371520