Search a number
-
+
5405686884 = 223213192920963
BaseRepresentation
bin1010000100011010…
…00011110001100100
3111221201202100100100
411002031003301210
542032323440014
62252222344100
7250646403033
oct50215036144
914851670310
105405686884
112324407624
12106a42b030
13681c117c0
14393d0671a
15219890009
hex142343c64

5405686884 has 144 divisors (see below), whose sum is σ = 16024881600. Its totient is φ = 1521338112.

The previous prime is 5405686883. The next prime is 5405686889. The reversal of 5405686884 is 4886865045.

It is a self number, because there is not a number n which added to its sum of digits gives 5405686884.

It is not an unprimeable number, because it can be changed into a prime (5405686883) 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 47 ways as a sum of consecutive naturals, for example, 247387 + ... + 268349.

It is an arithmetic number, because the mean of its divisors is an integer number (111283900).

Almost surely, 25405686884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405686884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012440800).

5405686884 is an abundant number, since it is smaller than the sum of its proper divisors (10619194716).

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

5405686884 is a wasteful number, since it uses less digits than its factorization.

5405686884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 5405686884 is about 73523.3764458624. The cubic root of 5405686884 is about 1755.0262990678.

The spelling of 5405686884 in words is "five billion, four hundred five million, six hundred eighty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 29 36 38 39 52 57 58 76 78 87 114 116 117 156 171 174 228 234 247 261 342 348 377 468 494 522 551 684 741 754 988 1044 1102 1131 1482 1508 1653 2204 2223 2262 2964 3306 3393 4446 4524 4959 6612 6786 7163 8892 9918 13572 14326 19836 20963 21489 28652 41926 42978 62889 64467 83852 85956 125778 128934 188667 251556 257868 272519 377334 398297 545038 607927 754668 796594 817557 1090076 1194891 1215854 1593188 1635114 1823781 2389782 2431708 2452671 3270228 3584673 3647562 4779564 4905342 5177861 5471343 7169346 7295124 7903051 9810684 10355722 10942686 11550613 14338692 15533583 15806102 20711444 21885372 23101226 23709153 31067166 31612204 34651839 46202452 46600749 47418306 62134332 69303678 71127459 93201498 94836612 103955517 138607356 142254918 150157969 186402996 207911034 284509836 300315938 415822068 450473907 600631876 900947814 1351421721 1801895628 2702843442 5405686884