Search a number
-
+
315553633345460 = 225101156214669973
BaseRepresentation
bin100011110111111101000111…
…0001110010001111110110100
31112101021122002021002220221102
41013233322032032101332310
5312330012320114023320
63035043200553505232
7123315666125524646
oct10757721616217664
91471248067086842
10315553633345460
11915aa5a9614794
122b4844a9412218
131070c770198b23
1457ccc3d610896
15267341a448175
hex11efe8e391fb4

315553633345460 has 24 divisors (see below), whose sum is σ = 669223646168616. Its totient is φ = 124971735977600.

The previous prime is 315553633345453. The next prime is 315553633345541. The reversal of 315553633345460 is 64543336355513.

It can be written as a sum of positive squares in 4 ways, for example, as 124986541748644 + 190567091596816 = 11179738^2 + 13804604^2 .

It is a super-2 number, since 2×3155536333454602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315553633345396 and 315553633345405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78107332967 + ... + 78107337006.

It is an arithmetic number, because the mean of its divisors is an integer number (27884318590359).

Almost surely, 2315553633345460 is an apocalyptic number.

It is an amenable number.

315553633345460 is an abundant number, since it is smaller than the sum of its proper divisors (353670012823156).

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

315553633345460 is a wasteful number, since it uses less digits than its factorization.

315553633345460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156214670083 (or 156214670081 counting only the distinct ones).

The product of its (nonzero) digits is 87480000, while the sum is 56.

The spelling of 315553633345460 in words is "three hundred fifteen trillion, five hundred fifty-three billion, six hundred thirty-three million, three hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 156214669973 312429339946 624858679892 781073349865 1562146699730 3124293399460 15777681667273 31555363334546 63110726669092 78888408336365 157776816672730 315553633345460