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212303463696 = 2434127992
BaseRepresentation
bin1100010110111001000…
…1011100010100010000
3202021222210102101210000
43011232101130110100
511434244141314241
6241310400010000
721224035444362
oct3055621342420
9667883371700
10212303463696
1182045852615
1235190000900
13170352c51cc
14a3c0134d32
1557c8689eb6
hex316e45c510

212303463696 has 75 divisors (see below), whose sum is σ = 614515830951. Its totient is φ = 70762292064.

The previous prime is 212303463661. The next prime is 212303463707. The reversal of 212303463696 is 696364303212.

The square root of 212303463696 is 460764.

It is a perfect power (a square), and thus also a powerful number.

212303463696 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 3 + 4 + 636 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16581105 + ... + 16593903.

Almost surely, 2212303463696 is an apocalyptic number.

212303463696 is the 460764-th square number.

It is an amenable number.

212303463696 is an abundant number, since it is smaller than the sum of its proper divisors (402212367255).

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

212303463696 is an frugal number, since it uses more digits than its factorization.

212303463696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25618 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 212303463696 in words is "two hundred twelve billion, three hundred three million, four hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 12799 25598 38397 51196 76794 102392 115191 153588 204784 230382 307176 345573 460764 614352 691146 921528 1036719 1382292 1843056 2073438 2764584 4146876 5529168 8293752 16587504 163814401 327628802 491443203 655257604 982886406 1310515208 1474329609 1965772812 2621030416 2948659218 3931545624 4422988827 5897318436 7863091248 8845977654 11794636872 13268966481 17691955308 23589273744 26537932962 35383910616 53075865924 70767821232 106151731848 212303463696