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5072878566 = 232727437741
BaseRepresentation
bin1001011100101110…
…11111101111100110
3111002112111221011100
410232113133233212
540342124103231
62155213220530
7236465520300
oct45627375746
914075457140
105072878566
112173564828
12b96a91746
1362ac976c2
14361a32970
151ea5501e6
hex12e5dfbe6

5072878566 has 72 divisors (see below), whose sum is σ = 12804586704. Its totient is φ = 1447256160.

The previous prime is 5072878553. The next prime is 5072878583. The reversal of 5072878566 is 6658782705.

5072878566 is a `hidden beast` number, since 5 + 0 + 7 + 2 + 8 + 78 + 566 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 651456 + ... + 659196.

It is an arithmetic number, because the mean of its divisors is an integer number (177841482).

Almost surely, 25072878566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072878566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402293352).

5072878566 is an abundant number, since it is smaller than the sum of its proper divisors (7731708138).

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

5072878566 is a wasteful number, since it uses less digits than its factorization.

5072878566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8496 counting only the distinct ones).

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

The square root of 5072878566 is about 71224.1431398090. The cubic root of 5072878566 is about 1718.2439448542.

The spelling of 5072878566 in words is "five billion, seventy-two million, eight hundred seventy-eight thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 743 882 1486 2229 4458 5201 6687 7741 10402 13374 15482 15603 23223 31206 36407 46446 46809 54187 69669 72814 93618 108374 109221 139338 162561 218442 325122 327663 379309 487683 655326 758618 975366 1137927 2275854 3413781 5751563 6827562 11503126 17254689 34509378 40260941 51764067 80521882 103528134 120782823 241565646 281826587 362348469 563653174 724696938 845479761 1690959522 2536439283 5072878566