Search a number
-
+
315046652500 = 2254401314261
BaseRepresentation
bin1001001010110100011…
…11100110101001010100
31010010012010212011122001
410211122033212221110
520130203420340000
6400421435045044
731522102235026
oct4453217465124
91103163764561
10315046652500
11111679692aa8
12510845a0784
132392a230498
141136962c016
1582dd63b46a
hex495a3e6a54

315046652500 has 60 divisors (see below), whose sum is σ = 690664282308. Its totient is φ = 125704000000.

The previous prime is 315046652423. The next prime is 315046652519. The reversal of 315046652500 is 5256640513.

It can be written as a sum of positive squares in 10 ways, for example, as 170339449284 + 144707203216 = 412722^2 + 380404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 315046652500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 845370 + ... + 1159630.

Almost surely, 2315046652500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315046652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345332141154).

315046652500 is an abundant number, since it is smaller than the sum of its proper divisors (375617629808).

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

315046652500 is a wasteful number, since it uses less digits than its factorization.

315046652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314686 (or 314669 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 315046652500 in words is "three hundred fifteen billion, forty-six million, six hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 401 500 625 802 1250 1604 2005 2500 4010 8020 10025 20050 40100 50125 100250 200500 250625 314261 501250 628522 1002500 1257044 1571305 3142610 6285220 7856525 15713050 31426100 39282625 78565250 126018661 157130500 196413125 252037322 392826250 504074644 630093305 785652500 1260186610 2520373220 3150466525 6300933050 12601866100 15752332625 31504665250 63009330500 78761663125 157523326250 315046652500