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28661134680 = 23325113704551
BaseRepresentation
bin11010101100010101…
…100011010101011000
32201222102222111102200
4122230111203111120
5432144222302210
621100003330200
72033151424263
oct325425432530
981872874380
1028661134680
1111178510772
12567a680960
132919b9cbb9
14155c6cbcda
15b2b30d0c0
hex6ac563558

28661134680 has 96 divisors (see below), whose sum is σ = 93973145760. Its totient is φ = 7575321600.

The previous prime is 28661134679. The next prime is 28661134753. The reversal of 28661134680 is 8643116682.

28661134680 is a `hidden beast` number, since 28 + 6 + 611 + 3 + 4 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×286611346802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 311596 + ... + 392955.

It is an arithmetic number, because the mean of its divisors is an integer number (978886935).

Almost surely, 228661134680 is an apocalyptic number.

28661134680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28661134680 is an abundant number, since it is smaller than the sum of its proper divisors (65312011080).

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

28661134680 is a wasteful number, since it uses less digits than its factorization.

28661134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704681 (or 704674 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28661134680 in words is "twenty-eight billion, six hundred sixty-one million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 704551 1409102 2113653 2818204 3522755 4227306 5636408 6340959 7045510 8454612 10568265 12681918 14091020 16909224 21136530 25363836 28182040 31704795 42273060 50727672 63409590 79614263 84546120 126819180 159228526 238842789 253638360 318457052 398071315 477685578 636914104 716528367 796142630 955371156 1194213945 1433056734 1592285260 1910742312 2388427890 2866113468 3184570520 3582641835 4776855780 5732226936 7165283670 9553711560 14330567340 28661134680