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5885442468 = 2232292349557
BaseRepresentation
bin1010111101100110…
…01011100110100100
3120012011111110021200
411132303023212210
544023133124333
62412001242500
7265563302253
oct53663134644
916164443250
105885442468
1125501a7044
121183033430
1372a429149
143db90c79a
15246a59c13
hex15eccb9a4

5885442468 has 108 divisors (see below), whose sum is σ = 15479673300. Its totient is φ = 1885347072.

The previous prime is 5885442421. The next prime is 5885442499. The reversal of 5885442468 is 8642445885.

5885442468 is a `hidden beast` number, since 58 + 8 + 544 + 2 + 46 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54287424 + 5831155044 = 7368^2 + 76362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10566046 + ... + 10566602.

Almost surely, 25885442468 is an apocalyptic number.

5885442468 is a gapful number since it is divisible by the number (58) 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 5885442468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739836650).

5885442468 is an abundant number, since it is smaller than the sum of its proper divisors (9594230832).

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

5885442468 is a wasteful number, since it uses less digits than its factorization.

5885442468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 940 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The square root of 5885442468 is about 76716.6374914855. The cubic root of 5885442468 is about 1805.4814867424.

The spelling of 5885442468 in words is "five billion, eight hundred eighty-five million, four hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 349 522 557 698 841 1044 1047 1114 1396 1671 1682 2094 2228 2523 3141 3342 3364 4188 5013 5046 6282 6684 7569 10026 10092 10121 12564 15138 16153 20052 20242 30276 30363 32306 40484 48459 60726 64612 91089 96918 121452 145377 182178 193836 194393 290754 293509 364356 388786 468437 581508 583179 587018 777572 880527 936874 1166358 1174036 1405311 1749537 1761054 1873748 2332716 2641581 2810622 3499074 3522108 4215933 5283162 5621244 5637397 6998148 8431866 10566324 11274794 16863732 16912191 22549588 33824382 50736573 67648764 101473146 163484513 202946292 326969026 490453539 653938052 980907078 1471360617 1961814156 2942721234 5885442468