Search a number
-
+
1311254664352 = 25592269306091
BaseRepresentation
bin10011000101001100110…
…111100101010010100000
311122100120120222122021121
4103011030313211102200
5132440422143224402
62442214310102024
7163510053514033
oct23051467452240
94570516878247
101311254664352
1146611108a096
1219216864a914
139685ca08549
14476721cb01a
152419701a837
hex1314cde54a0

1311254664352 has 48 divisors (see below), whose sum is σ = 2626453015200. Its totient is φ = 644228847360.

The previous prime is 1311254664347. The next prime is 1311254664413. The reversal of 1311254664352 is 2534664521131.

It is a junction number, because it is equal to n+sod(n) for n = 1311254664299 and 1311254664308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4130827 + ... + 4436917.

It is an arithmetic number, because the mean of its divisors is an integer number (54717771150).

Almost surely, 21311254664352 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 1311254664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313226507600).

1311254664352 is an abundant number, since it is smaller than the sum of its proper divisors (1315198350848).

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

1311254664352 is a wasteful number, since it uses less digits than its factorization.

1311254664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308429 (or 308421 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 1311254664352 in words is "one trillion, three hundred eleven billion, two hundred fifty-four million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1888 2269 4538 9076 18152 36304 72608 133871 267742 306091 535484 612182 1070968 1224364 2141936 2448728 4283872 4897456 9794912 18059369 36118738 72237476 144474952 288949904 577899808 694520479 1389040958 2778081916 5556163832 11112327664 22224655328 40976708261 81953416522 163906833044 327813666088 655627332176 1311254664352