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5864064040 = 2354789101347
BaseRepresentation
bin1010111011000011…
…01000010000101000
3120010200021022121001
411131201220100220
544002200022130
62405515124344
7265213502422
oct53541502050
916120238531
105864064040
11253a12511a
121177a436b4
13725b824a3
143d8b45812
15244c356ca
hex15d868428

5864064040 has 128 divisors (see below), whose sum is σ = 13800844800. Its totient is φ = 2240972800.

The previous prime is 5864063977. The next prime is 5864064047. The reversal of 5864064040 is 404604685.

It is a super-2 number, since 2×58640640402 = 68774494130442243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5864064047) 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 31 ways as a sum of consecutive naturals, for example, 16899147 + ... + 16899493.

It is an arithmetic number, because the mean of its divisors is an integer number (107819100).

Almost surely, 25864064040 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 5864064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900422400).

5864064040 is an abundant number, since it is smaller than the sum of its proper divisors (7936780760).

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

5864064040 is a wasteful number, since it uses less digits than its factorization.

5864064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 5864064040 is about 76577.1770176989. The cubic root of 5864064040 is about 1803.2927424562.

The spelling of 5864064040 in words is "five billion, eight hundred sixty-four million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 89 94 101 178 188 202 235 347 356 376 404 445 470 505 694 712 808 890 940 1010 1388 1735 1780 1880 2020 2776 3470 3560 4040 4183 4747 6940 8366 8989 9494 13880 16309 16732 17978 18988 20915 23735 30883 32618 33464 35047 35956 37976 41830 44945 47470 61766 65236 70094 71912 81545 83660 89890 94940 123532 130472 140188 154415 163090 167320 175235 179780 189880 247064 280376 308830 326180 350470 359560 422483 617660 652360 700940 844966 1235320 1401880 1451501 1647209 1689932 2112415 2903002 3119183 3294418 3379864 4224830 5806004 6238366 6588836 7257505 8236045 8449660 11612008 12476732 13177672 14515010 15595915 16472090 16899320 24953464 29030020 31191830 32944180 58060040 62383660 65888360 124767320 146601601 293203202 586406404 733008005 1172812808 1466016010 2932032020 5864064040