Search a number
-
+
28700654752 = 2572114913389
BaseRepresentation
bin11010101110101100…
…010011110010100000
32202002012100022210001
4122232230103302200
5432234331423002
621103534345344
72034141353200
oct325654236240
982065308701
1028700654752
1111198853790
12568b95b254
132925129163
141563a58400
15b2ea17a87
hex6aeb13ca0

28700654752 has 144 divisors (see below), whose sum is σ = 71872284960. Its totient is φ = 11156006400.

The previous prime is 28700654737. The next prime is 28700654849. The reversal of 28700654752 is 25745600782.

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 23 ways as a sum of consecutive naturals, for example, 8467074 + ... + 8470462.

It is an arithmetic number, because the mean of its divisors is an integer number (499113090).

Almost surely, 228700654752 is an apocalyptic number.

28700654752 is a gapful number since it is divisible by the number (22) 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 28700654752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35936142480).

28700654752 is an abundant number, since it is smaller than the sum of its proper divisors (43171630208).

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

28700654752 is a wasteful number, since it uses less digits than its factorization.

28700654752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 28700654752 in words is "twenty-eight billion, seven hundred million, six hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 491 539 616 784 982 1078 1232 1568 1964 2156 2464 3389 3437 3928 4312 5401 6778 6874 7856 8624 10802 13556 13748 15712 17248 21604 23723 24059 27112 27496 37279 37807 43208 47446 48118 54224 54992 74558 75614 86416 94892 96236 108448 109984 149116 151228 166061 172832 189784 192472 260953 264649 298232 302456 332122 379568 384944 521906 529298 596464 604912 664244 759136 769888 1043812 1058596 1192928 1209824 1328488 1663999 1826671 2087624 2117192 2656976 3327998 3653342 4175248 4234384 5313952 6655996 7306684 8350496 8468768 11647993 13311992 14613368 18303989 23295986 26623984 29226736 36607978 46591972 53247968 58453472 73215956 81535951 93183944 128127923 146431912 163071902 186367888 256255846 292863824 326143804 372735776 512511692 585727648 652287608 896895461 1025023384 1304575216 1793790922 2050046768 2609150432 3587581844 4100093536 7175163688 14350327376 28700654752