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3645425652 = 22311192113677
BaseRepresentation
bin1101100101001000…
…1100011111110100
3100102001111210212220
43121102030133310
524431212110102
61401422042340
7156223415061
oct33122143764
910361453786
103645425652
111600825280
12858a193b0
134613263cb
14268215c68
151650861bc
hexd948c7f4

3645425652 has 144 divisors (see below), whose sum is σ = 9894612672. Its totient is φ = 1035740160.

The previous prime is 3645425603. The next prime is 3645425659. The reversal of 3645425652 is 2565245463.

It is a super-3 number, since 3×36454256523 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645425659) 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 47 ways as a sum of consecutive naturals, for example, 5384338 + ... + 5385014.

It is an arithmetic number, because the mean of its divisors is an integer number (68712588).

Almost surely, 23645425652 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 3645425652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947306336).

3645425652 is an abundant number, since it is smaller than the sum of its proper divisors (6249187020).

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

3645425652 is a wasteful number, since it uses less digits than its factorization.

3645425652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 825 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The square root of 3645425652 is about 60377.3604259080. The cubic root of 3645425652 is about 1539.0382554124.

The spelling of 3645425652 in words is "three billion, six hundred forty-five million, four hundred twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 113 114 132 209 226 228 339 361 418 452 627 677 678 722 836 1083 1243 1254 1354 1356 1444 2031 2147 2166 2486 2508 2708 3729 3971 4062 4294 4332 4972 6441 7447 7458 7942 8124 8588 11913 12863 12882 14894 14916 15884 22341 23617 23826 25726 25764 29788 38589 40793 44682 47234 47652 51452 70851 76501 77178 81586 89364 94468 122379 141493 141702 153002 154356 163172 229503 244397 244758 282986 283404 306004 424479 448723 459006 488794 489516 565972 733191 841511 848958 897446 918012 977588 1346169 1453519 1466382 1683022 1697916 1794892 2524533 2688367 2692338 2907038 2932764 3366044 4360557 5049066 5376734 5384676 5814076 8065101 8721114 10098132 10753468 15988709 16130202 17442228 27616861 31977418 32260404 47966127 55233722 63954836 82850583 95932254 110467444 165701166 191864508 303785471 331402332 607570942 911356413 1215141884 1822712826 3645425652