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61122345128 = 231333712171433
BaseRepresentation
bin111000111011001011…
…001111100010101000
312211202201110211211022
4320323023033202220
52000134310021003
644025035552012
74262445234635
oct707313174250
9184681424738
1061122345128
1123a15a74619
12ba198bb608
1359c1132830
142d5b96b18c
1518cb04e738
hexe3b2cf8a8

61122345128 has 64 divisors (see below), whose sum is σ = 123974519760. Its totient is φ = 28083879936.

The previous prime is 61122345091. The next prime is 61122345131. The reversal of 61122345128 is 82154322116.

It can be written as a sum of positive squares in 8 ways, for example, as 17599206244 + 43523138884 = 132662^2 + 208622^2 .

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 15 ways as a sum of consecutive naturals, for example, 42652700 + ... + 42654132.

Almost surely, 261122345128 is an apocalyptic number.

It is an amenable number.

61122345128 is an abundant number, since it is smaller than the sum of its proper divisors (62852174632).

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

61122345128 is a wasteful number, since it uses less digits than its factorization.

61122345128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3002 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The spelling of 61122345128 in words is "sixty-one billion, one hundred twenty-two million, three hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 337 674 1217 1348 1433 2434 2696 2866 4381 4868 5732 8762 9736 11464 15821 17524 18629 31642 35048 37258 63284 74516 126568 149032 410129 482921 820258 965842 1640516 1743961 1931684 3281032 3487922 3863368 5331677 6277973 6975844 10663354 12555946 13951688 21326708 22671493 25111892 42653416 45342986 50223784 90685972 181371944 587714857 1175429714 2350859428 4701718856 7640293141 15280586282 30561172564 61122345128