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4427701505334 = 2335919160711987
BaseRepresentation
bin100000001101110011110…
…0100110100110100110110
3120200021200010112100101000
41000123213210310310312
51040020413041132314
613230020305344130
7634614366551262
oct100334744646466
916607603470330
104427701505334
111457861084a28
125b6150338046
132616b8562c43
141144325910a2
157a294807209
hex406e7934d36

4427701505334 has 128 divisors (see below), whose sum is σ = 10075904409600. Its totient is φ = 1440791033760.

The previous prime is 4427701505333. The next prime is 4427701505347. The reversal of 4427701505334 is 4335051077244.

It is a happy number.

4427701505334 is a `hidden beast` number, since 4 + 42 + 7 + 70 + 1 + 5 + 0 + 533 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4427701505334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427701505333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369369289 + ... + 369381275.

It is an arithmetic number, because the mean of its divisors is an integer number (78718003200).

Almost surely, 24427701505334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427701505334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037952204800).

4427701505334 is an abundant number, since it is smaller than the sum of its proper divisors (5648202904266).

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

4427701505334 is a wasteful number, since it uses less digits than its factorization.

4427701505334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 4427701505334 in words is "four trillion, four hundred twenty-seven billion, seven hundred one million, five hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 191 354 382 531 573 607 1062 1146 1214 1593 1719 1821 3186 3438 3642 5157 5463 10314 10926 11269 11987 16389 22538 23974 32778 33807 35813 35961 67614 71626 71922 101421 107439 107883 115937 202842 214878 215766 231874 304263 322317 323649 347811 608526 644634 647298 695622 707233 966951 1043433 1414466 1933902 2086866 2121699 2289517 3130299 4243398 4579034 6260598 6365097 6840283 6868551 7276109 12730194 13680566 13737102 14552218 19095291 20520849 20605653 21828327 38190582 41041698 41211306 43656654 61562547 61816959 65484981 123125094 123633918 130969962 135081503 184687641 196454943 270163006 369375282 392909886 405244509 429290431 810489018 858580862 1215733527 1287871293 1389736819 2431467054 2575742586 2779473638 3647200581 3863613879 4169210457 7294401162 7727227758 8338420914 11590841637 12507631371 23181683274 25015262742 37522894113 75045788226 81994472321 163988944642 245983416963 491966833926 737950250889 1475900501778 2213850752667 4427701505334