Search a number
-
+
655629931264 = 28711237711151
BaseRepresentation
bin10011000101001101001…
…01101101001100000000
32022200021222101100220211
421202212211231030000
541220212230300024
61221105304443504
765240056315360
oct11424645551400
92280258340824
10655629931264
11233062005300
12a7095179594
1349a96c042b9
1423a385b09a0
15120c3aea594
hex98a696d300

655629931264 has 432 divisors, whose sum is σ = 1713685413888. Its totient is φ = 244823040000.

The previous prime is 655629931259. The next prime is 655629931273. The reversal of 655629931264 is 462139926556.

It is a junction number, because it is equal to n+sod(n) for n = 655629931199 and 655629931208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569617089 + ... + 569618239.

It is an arithmetic number, because the mean of its divisors is an integer number (3966864384).

Almost surely, 2655629931264 is an apocalyptic number.

655629931264 is a gapful number since it is divisible by the number (64) 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 655629931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856842706944).

655629931264 is an abundant number, since it is smaller than the sum of its proper divisors (1058055482624).

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

655629931264 is a wasteful number, since it uses less digits than its factorization.

655629931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1279 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 58.

The spelling of 655629931264 in words is "six hundred fifty-five billion, six hundred twenty-nine million, nine hundred thirty-one thousand, two hundred sixty-four".