Search a number
-
+
10679908960 = 25579535633
BaseRepresentation
bin10011111001001001…
…00111101001100000
31000120022010120212201
421330210213221200
5133333024041320
64523431302544
7525441504550
oct117444475140
930508116781
1010679908960
114590591746
1220a081aa54
131012813b76
1473458b160
1542791270a
hex27c927a60

10679908960 has 48 divisors (see below), whose sum is σ = 28835757216. Its totient is φ = 3661682688.

The previous prime is 10679908951. The next prime is 10679908961. The reversal of 10679908960 is 6980997601.

It is a super-2 number, since 2×106799089602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10679908961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4766697 + ... + 4768936.

It is an arithmetic number, because the mean of its divisors is an integer number (600744942).

Almost surely, 210679908960 is an apocalyptic number.

10679908960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10679908960 is an abundant number, since it is smaller than the sum of its proper divisors (18155848256).

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

10679908960 is an equidigital number, since it uses as much as digits as its factorization.

10679908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535655 (or 9535647 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The spelling of 10679908960 in words is "ten billion, six hundred seventy-nine million, nine hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9535633 19071266 38142532 47678165 66749431 76285064 95356330 133498862 152570128 190712660 266997724 305140256 333747155 381425320 533995448 667494310 762850640 1067990896 1334988620 1525701280 2135981792 2669977240 5339954480 10679908960