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5825780766 = 233131132712
BaseRepresentation
bin1010110110011111…
…00101110000011110
3120001000020022211000
411123033211300132
543412344441031
62402030411130
7264240214401
oct53317456036
916030208730
105825780766
11251a557353
121167060aa6
1371ac6a170
143d3a1bd38
152416c23e6
hex15b3e5c1e

5825780766 has 96 divisors (see below), whose sum is σ = 14117513760. Its totient is φ = 1770128640.

The previous prime is 5825780761. The next prime is 5825780767. The reversal of 5825780766 is 6670875285.

5825780766 is a `hidden beast` number, since 5 + 8 + 2 + 578 + 0 + 7 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5825780761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21497211 + ... + 21497481.

It is an arithmetic number, because the mean of its divisors is an integer number (147057435).

Almost surely, 25825780766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5825780766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058756880).

5825780766 is an abundant number, since it is smaller than the sum of its proper divisors (8291732994).

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

5825780766 is a wasteful number, since it uses less digits than its factorization.

5825780766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5825780766 is about 76326.8024091145. The cubic root of 5825780766 is about 1799.3599335353.

The spelling of 5825780766 in words is "five billion, eight hundred twenty-five million, seven hundred eighty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 226 234 271 339 351 542 678 702 813 1017 1469 1626 2034 2439 2938 3051 3523 4407 4878 6102 7046 7317 8814 10569 13221 14634 21138 26442 30623 31707 39663 61246 63414 73441 79326 91869 95121 146882 183738 190242 220323 275607 398099 440646 551214 660969 796198 826821 954733 1194297 1321938 1653642 1909466 1982907 2388594 2864199 3582891 3965814 5728398 7165782 8298833 8592597 10748673 16597666 17185194 21497346 24896499 25777791 49792998 51555582 74689497 107884829 149378994 215769658 224068491 323654487 448136982 647308974 970963461 1941926922 2912890383 5825780766