Search a number
-
+
11878244352 = 213381317
BaseRepresentation
bin10110000111111111…
…11010000000000000
31010122211000100000000
423003333322000000
5143311312304402
65242400000000
7600232261002
oct130377720000
933584010000
1011878244352
115045a60877
122376000000
131173b74770
148097a6372
15497c1ec1c
hex2c3ffa000

11878244352 has 504 divisors, whose sum is σ = 40628725956. Its totient is φ = 3439853568.

The previous prime is 11878244333. The next prime is 11878244359. The reversal of 11878244352 is 25344287811.

11878244352 is a `hidden beast` number, since 1 + 1 + 87 + 82 + 443 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11851370496 + 26873856 = 108864^2 + 5184^2 .

Its product of digits (430080) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 11878244298 and 11878244307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878244359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698720248 + ... + 698720264.

Almost surely, 211878244352 is an apocalyptic number.

11878244352 is a gapful number since it is divisible by the number (12) 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 11878244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314362978).

11878244352 is an abundant number, since it is smaller than the sum of its proper divisors (28750481604).

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

11878244352 is an frugal number, since it uses more digits than its factorization.

11878244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 11878244352 in words is "eleven billion, eight hundred seventy-eight million, two hundred forty-four thousand, three hundred fifty-two".