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5684037632 = 21172134357
BaseRepresentation
bin1010100101100101…
…11000100000000000
3112200010112000210022
411102302320200000
543120103201012
62340004353012
7260566344200
oct52262704000
915603460708
105684037632
112457544669
1211276a5768
136c779c5a0
143bcc82400
15234024472
hex152cb8800

5684037632 has 144 divisors (see below), whose sum is σ = 14241115980. Its totient is φ = 2248114176.

The previous prime is 5684037631. The next prime is 5684037649. The reversal of 5684037632 is 2367304865.

It can be written as a sum of positive squares in 2 ways, for example, as 5497332736 + 186704896 = 74144^2 + 13664^2 .

It is not an unprimeable number, because it can be changed into a prime (5684037631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302398 + ... + 1306754.

Almost surely, 25684037632 is an apocalyptic number.

5684037632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5684037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120557990).

5684037632 is an abundant number, since it is smaller than the sum of its proper divisors (8557078348).

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

5684037632 is a wasteful number, since it uses less digits than its factorization.

5684037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 5684037632 is about 75392.5568740045. The cubic root of 5684037632 is about 1784.6469531170.

The spelling of 5684037632 in words is "five billion, six hundred eighty-four million, thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2048 2548 2912 3136 3328 3584 4357 5096 5824 6272 6656 7168 8714 10192 11648 12544 13312 14336 17428 20384 23296 25088 26624 30499 34856 40768 46592 50176 56641 60998 69712 81536 93184 100352 113282 121996 139424 163072 186368 213493 226564 243992 278848 326144 396487 426986 453128 487984 557696 652288 792974 853972 906256 975968 1115392 1304576 1585948 1707944 1812512 1951936 2230784 2775409 3171896 3415888 3625024 3903872 4461568 5550818 6343792 6831776 7250048 7807744 8923136 11101636 12687584 13663552 14500096 15615488 22203272 25375168 27327104 29000192 31230976 44406544 50750336 54654208 58000384 62461952 88813088 101500672 109308416 116000768 177626176 203001344 218616832 355252352 406002688 437233664 710504704 812005376 1421009408 2842018816 5684037632