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5660315520 = 273512972273
BaseRepresentation
bin1010100010110000…
…11000111110000000
3112121110212211011120
411101120120332000
543043020044040
62333400112240
7260160613416
oct52130307600
915543784146
105660315520
112445111912
12111b765680
136c28b4c32
143b9a692b6
15231dda7d0
hex151618f80

5660315520 has 128 divisors (see below), whose sum is σ = 18064110240. Its totient is φ = 1507590144.

The previous prime is 5660315491. The next prime is 5660315527. The reversal of 5660315520 is 255130665.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660315527) 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 15 ways as a sum of consecutive naturals, for example, 2489104 + ... + 2491376.

Almost surely, 25660315520 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 5660315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032055120).

5660315520 is an abundant number, since it is smaller than the sum of its proper divisors (12403794720).

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

5660315520 is a wasteful number, since it uses less digits than its factorization.

5660315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 5660315520 is about 75235.0684189228. The cubic root of 5660315520 is about 1782.1607728166.

The spelling of 5660315520 in words is "five billion, six hundred sixty million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1297 1920 2273 2594 3891 4546 5188 6485 6819 7782 9092 10376 11365 12970 13638 15564 18184 19455 20752 22730 25940 27276 31128 34095 36368 38910 41504 45460 51880 54552 62256 68190 72736 77820 83008 90920 103760 109104 124512 136380 145472 155640 166016 181840 207520 218208 249024 272760 290944 311280 363680 415040 436416 498048 545520 622560 727360 830080 872832 1091040 1245120 1454720 2182080 2490240 2948081 4364160 5896162 8844243 11792324 14740405 17688486 23584648 29480810 35376972 44221215 47169296 58961620 70753944 88442430 94338592 117923240 141507888 176884860 188677184 235846480 283015776 353769720 377354368 471692960 566031552 707539440 943385920 1132063104 1415078880 1886771840 2830157760 5660315520