Search a number
-
+
137465072560 = 2451718313407
BaseRepresentation
bin1000000000000110001…
…1101000101110110000
3111010211011210020000201
42000001203220232300
54223012024310220
6143052305324544
712634340560204
oct2000143505660
9433734706021
10137465072560
11533314a4692
1222784936754
13cc69653b2a
146920ac8b04
1538983e6d0a
hex20018e8bb0

137465072560 has 20 divisors (see below), whose sum is σ = 319606293888. Its totient is φ = 54986028992.

The previous prime is 137465072551. The next prime is 137465072573. The reversal of 137465072560 is 65270564731.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 137465072560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 859156624 + ... + 859156783.

Almost surely, 2137465072560 is an apocalyptic number.

137465072560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137465072560 is an abundant number, since it is smaller than the sum of its proper divisors (182141221328).

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

137465072560 is a wasteful number, since it uses less digits than its factorization.

137465072560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718313420 (or 1718313414 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 137465072560 in words is "one hundred thirty-seven billion, four hundred sixty-five million, seventy-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1718313407 3436626814 6873253628 8591567035 13746507256 17183134070 27493014512 34366268140 68732536280 137465072560