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5665652240 = 245413175449
BaseRepresentation
bin1010100011011001…
…01111111000010000
3112121211220221202212
411101230233320100
543100401332430
62334110331252
7260254151363
oct52154577020
915554827685
105665652240
112448127426
1211214b9b28
136c3a33061
143ba6580da
152325e1b95
hex151b2fe10

5665652240 has 80 divisors (see below), whose sum is σ = 13538977200. Its totient is φ = 2203607040.

The previous prime is 5665652227. The next prime is 5665652257. The reversal of 5665652240 is 422565665.

It can be written as a sum of positive squares in 8 ways, for example, as 3228057856 + 2437594384 = 56816^2 + 49372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037036 + ... + 1042484.

It is an arithmetic number, because the mean of its divisors is an integer number (169237215).

Almost surely, 25665652240 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 5665652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769488600).

5665652240 is an abundant number, since it is smaller than the sum of its proper divisors (7873324960).

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

5665652240 is a wasteful number, since it uses less digits than its factorization.

5665652240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The square root of 5665652240 is about 75270.5270341586. The cubic root of 5665652240 is about 1782.7206889271.

The spelling of 5665652240 in words is "five billion, six hundred sixty-five million, six hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 317 328 410 634 656 820 1268 1585 1640 2536 3170 3280 5072 5449 6340 10898 12680 12997 21796 25360 25994 27245 43592 51988 54490 64985 87184 103976 108980 129970 207952 217960 223409 259940 435920 446818 519880 893636 1039760 1117045 1727333 1787272 2234090 3454666 3574544 4468180 6909332 8636665 8936360 13818664 17273330 17872720 27637328 34546660 69093320 70820653 138186640 141641306 283282612 354103265 566565224 708206530 1133130448 1416413060 2832826120 5665652240