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42613473364 = 22711292164513
BaseRepresentation
bin100111101011111101…
…100000000001010100
311001222210202201222021
4213223331200001110
51144233022121424
631324254342524
73036000355450
oct475375400124
9131883681867
1042613473364
1117088216290
1283131baa44
134031661cc7
1420c3719660
1511961794e4
hex9ebf60054

42613473364 has 72 divisors (see below), whose sum is σ = 96292018368. Its totient is φ = 16030049280.

The previous prime is 42613473361. The next prime is 42613473367. The reversal of 42613473364 is 46337431624.

It is an interprime number because it is at equal distance from previous prime (42613473361) and next prime (42613473367).

It is a super-2 number, since 2×426134733642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42613473364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42613473361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176772 + ... + 341284.

It is an arithmetic number, because the mean of its divisors is an integer number (1337389144).

Almost surely, 242613473364 is an apocalyptic number.

42613473364 is a gapful number since it is divisible by the number (44) 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 42613473364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48146009184).

42613473364 is an abundant number, since it is smaller than the sum of its proper divisors (53678545004).

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

42613473364 is a wasteful number, since it uses less digits than its factorization.

42613473364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164593 (or 164562 counting only the distinct ones).

The product of its digits is 870912, while the sum is 43.

The spelling of 42613473364 in words is "forty-two billion, six hundred thirteen million, four hundred seventy-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 841 1276 1682 2233 3364 4466 5887 8932 9251 11774 18502 23548 37004 64757 129514 164513 259028 329026 658052 1151591 1809643 2303182 3619286 4606364 4770877 7238572 9541754 12667501 19083508 25335002 33396139 50670004 52479647 66792278 104959294 133584556 138355433 209918588 276710866 367357529 553421732 734715058 968488031 1469430116 1521909763 1936976062 3043819526 3873952124 6087639052 10653368341 21306736682 42613473364