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5360383665 = 3257213414561
BaseRepresentation
bin1001111111000000…
…01111011010110001
3111211120111201000100
410333200033122301
541434224234130
62243523343013
7246556336500
oct47740173261
914746451010
105360383665
11230088464a
121057221a69
1367570c170
1438bcb2837
152158e1c60
hex13f80f6b1

5360383665 has 144 divisors (see below), whose sum is σ = 11926199376. Its totient is φ = 2206310400.

The previous prime is 5360383663. The next prime is 5360383669. The reversal of 5360383665 is 5663830635.

5360383665 is a `hidden beast` number, since 5 + 3 + 603 + 8 + 36 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1873244961 + 3487138704 = 43281^2 + 59052^2 .

It is not a de Polignac number, because 5360383665 - 21 = 5360383663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5360383665.

It is not an unprimeable number, because it can be changed into a prime (5360383663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1172985 + ... + 1177545.

It is an arithmetic number, because the mean of its divisors is an integer number (82820829).

It is the magic constant of a 2205 × 2205 magic square.

Almost surely, 25360383665 is an apocalyptic number.

It is an amenable number.

5360383665 is an abundant number, since it is smaller than the sum of its proper divisors (6565815711).

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

5360383665 is a wasteful number, since it uses less digits than its factorization.

5360383665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 5360383665 is about 73214.6410562805. The cubic root of 5360383665 is about 1750.1097797799.

The spelling of 5360383665 in words is "five billion, three hundred sixty million, three hundred eighty-three thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 41 45 49 63 65 91 105 117 123 147 195 205 245 273 287 315 369 441 455 533 585 615 637 735 819 861 1365 1435 1599 1845 1911 2009 2205 2583 2665 3185 3731 4095 4305 4561 4797 5733 6027 7995 9555 10045 11193 12915 13683 18081 18655 22805 23985 26117 28665 30135 31927 33579 41049 55965 59293 68415 78351 90405 95781 130585 159635 167895 177879 187001 205245 223489 235053 287343 296465 391755 415051 478905 533637 561003 670467 889395 935005 1117445 1175265 1245153 1309007 1436715 1683009 2011401 2075255 2431013 2668185 2805015 2905357 3352335 3735459 3927021 6225765 6545035 7293039 8415045 8716071 9163049 10057005 11781063 12155065 14526785 17017091 18677295 19635105 21879117 26148213 27489147 36465195 43580355 45815245 51051273 58905315 82467441 85085455 109395585 119119637 130741065 137445735 153153819 255256365 357358911 412337205 595598185 765769095 1072076733 1786794555 5360383665