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212704494128 = 247103113163171
BaseRepresentation
bin1100011000011000101…
…1010000001000110000
3202100000202000212002222
43012012023100020300
511441104322303003
6241414243300212
721240005240330
oct3060613201060
9670022025088
10212704494128
1182231161725
123528237a668
131709a407819
14a41b4c70c0
1557ed9a3c38
hex31862d0230

212704494128 has 80 divisors (see below), whose sum is σ = 479772673536. Its totient is φ = 89474595840.

The previous prime is 212704494127. The next prime is 212704494133. The reversal of 212704494128 is 821494407212.

It is not an unprimeable number, because it can be changed into a prime (212704494127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221983 + ... + 1385153.

Almost surely, 2212704494128 is an apocalyptic number.

212704494128 is a gapful number since it is divisible by the number (28) 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 212704494128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239886336768).

212704494128 is an abundant number, since it is smaller than the sum of its proper divisors (267068179408).

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

212704494128 is a wasteful number, since it uses less digits than its factorization.

212704494128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163402 (or 163396 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 212704494128 in words is "two hundred twelve billion, seven hundred four million, four hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 113 206 226 412 452 721 791 824 904 1442 1582 1648 1808 2884 3164 5768 6328 11536 11639 12656 23278 46556 81473 93112 162946 163171 186224 325892 326342 651784 652684 1142197 1303568 1305368 2284394 2610736 4568788 9137576 16806613 18275152 18438323 33613226 36876646 67226452 73753292 117646291 129068261 134452904 147506584 235292582 258136522 268905808 295013168 470585164 516273044 941170328 1032546088 1882340656 1899147269 2065092176 3798294538 7596589076 13294030883 15193178152 26588061766 30386356304 53176123532 106352247064 212704494128