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5827136436 = 2234112396841
BaseRepresentation
bin1010110110101001…
…10000101110110100
3120001002210012110000
411123110300232310
543413221331221
62402115431300
7264254561652
oct53324605664
916032705400
105827136436
1125202a2940
1211675b5530
1371b323234
143d3c91dd2
1524188de26
hex15b530bb4

5827136436 has 120 divisors (see below), whose sum is σ = 16690101120. Its totient is φ = 1758153600.

The previous prime is 5827136383. The next prime is 5827136453. The reversal of 5827136436 is 6346317285.

5827136436 is a `hidden beast` number, since 5 + 82 + 7 + 136 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5827136391 and 5827136400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 848376 + ... + 855216.

It is an arithmetic number, because the mean of its divisors is an integer number (139084176).

Almost surely, 25827136436 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 5827136436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345050560).

5827136436 is an abundant number, since it is smaller than the sum of its proper divisors (10862964684).

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

5827136436 is a wasteful number, since it uses less digits than its factorization.

5827136436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7096 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 5827136436 is about 76335.6825868479. The cubic root of 5827136436 is about 1799.4994941762.

The spelling of 5827136436 in words is "five billion, eight hundred twenty-seven million, one hundred thirty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 239 297 324 396 478 594 717 891 956 1188 1434 1782 2151 2629 2868 3564 4302 5258 6453 6841 7887 8604 10516 12906 13682 15774 19359 20523 23661 25812 27364 31548 38718 41046 47322 61569 70983 75251 77436 82092 94644 123138 141966 150502 184707 212949 225753 246276 283932 301004 369414 425898 451506 554121 677259 738828 851796 903012 1108242 1354518 1634999 2031777 2216484 2709036 3269998 4063554 4904997 6095331 6539996 8127108 9809994 12190662 14714991 17984989 19619988 24381324 29429982 35969978 44144973 53954967 58859964 71939956 88289946 107909934 132434919 161864901 176579892 215819868 264869838 323729802 485594703 529739676 647459604 971189406 1456784109 1942378812 2913568218 5827136436