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212504361664 = 2674011182893
BaseRepresentation
bin1100010111101000111…
…1110011101011000000
3202022111210110001222111
43011322033303223000
511440202104033124
6241342333545104
721232025161630
oct3057217635300
9668453401874
10212504361664
11821391991a1
1235227345194
1317067b0514a
14a3dcaac6c0
1557db120494
hex317a3f3ac0

212504361664 has 56 divisors (see below), whose sum is σ = 483131762208. Its totient is φ = 90846105600.

The previous prime is 212504361637. The next prime is 212504361677. The reversal of 212504361664 is 466163405212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2125043616642 (a number of 23 digits) contains 22 as substring.

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, 411799 + ... + 771094.

Almost surely, 2212504361664 is an apocalyptic number.

It is an amenable number.

212504361664 is an abundant number, since it is smaller than the sum of its proper divisors (270627400544).

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

212504361664 is a wasteful number, since it uses less digits than its factorization.

212504361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183313 (or 1183303 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 212504361664 its reverse (466163405212), we get a palindrome (678667766876).

It can be divided in two parts, 21250436 and 1664, that added together give a square (21252100 = 46102).

The spelling of 212504361664 in words is "two hundred twelve billion, five hundred four million, three hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 401 448 802 1604 2807 3208 5614 6416 11228 12832 22456 25664 44912 89824 179648 1182893 2365786 4731572 8280251 9463144 16560502 18926288 33121004 37852576 66242008 75705152 132484016 264968032 474340093 529936064 948680186 1897360372 3320380651 3794720744 6640761302 7589441488 13281522604 15178882976 26563045208 30357765952 53126090416 106252180832 212504361664