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5660022528 = 28332335603
BaseRepresentation
bin1010100010101110…
…10001011100000000
3112121110022221021000
411101113101130000
543042431210103
62333345532000
7260155253256
oct52127213400
915543287230
105660022528
112444a31776
12111b644000
136c2811774
143b99d05d6
15231d7daa3
hex1515d1700

5660022528 has 144 divisors (see below), whose sum is σ = 17465898240. Its totient is φ = 1804594176.

The previous prime is 5660022509. The next prime is 5660022547. The reversal of 5660022528 is 8252200665.

5660022528 is a `hidden beast` number, since 5 + 6 + 600 + 2 + 25 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5660022509) and next prime (5660022547).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5660022492 and 5660022501.

It is a congruent number.

It is an unprimeable number.

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, 141175 + ... + 176777.

It is an arithmetic number, because the mean of its divisors is an integer number (121290960).

Almost surely, 25660022528 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 5660022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732949120).

5660022528 is an abundant number, since it is smaller than the sum of its proper divisors (11805875712).

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

5660022528 is a wasteful number, since it uses less digits than its factorization.

5660022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35651 (or 35631 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5660022528 is about 75233.1212166556. The cubic root of 5660022528 is about 1782.1300225956.

The spelling of 5660022528 in words is "five billion, six hundred sixty million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 35603 39744 52992 71206 79488 106809 142412 158976 213618 284824 320427 427236 569648 640854 818869 854472 961281 1139296 1281708 1637738 1708944 1922562 2278592 2456607 2563416 3275476 3417888 3845124 4557184 4913214 5126832 6550952 6835776 7369821 7690248 9114368 9826428 10253664 13101904 13671552 14739642 15380496 19652856 20507328 22109463 26203808 27343104 29479284 30760992 39305712 41014656 44218926 52407616 58958568 61521984 78611424 82029312 88437852 104815232 117917136 123043968 157222848 176875704 209630464 235834272 246087936 314445696 353751408 471668544 628891392 707502816 943337088 1415005632 1886674176 2830011264 5660022528