Search a number
-
+
11352140050176 = 2833171672572251
BaseRepresentation
bin1010010100110010000001…
…0001100110111100000000
31111012020212011021200122000
42211030200101212330000
52441443140323101201
640051033502544000
72251110420213042
oct245144021467400
944166764250560
1011352140050176
113687463121672
121334154898000
1364466b493b53
142b363731ba92
1514a466536d86
hexa5320466f00

11352140050176 has 576 divisors, whose sum is σ = 35912924328960. Its totient is φ = 3524788224000.

The previous prime is 11352140050169. The next prime is 11352140050231. The reversal of 11352140050176 is 67105004125311.

11352140050176 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 140 + 0 + 501 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11352140050176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5043153051 + ... + 5043155301.

It is an arithmetic number, because the mean of its divisors is an integer number (62348826960).

Almost surely, 211352140050176 is an apocalyptic number.

11352140050176 is a gapful number since it is divisible by the number (16) 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 11352140050176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956462164480).

11352140050176 is an abundant number, since it is smaller than the sum of its proper divisors (24560784278784).

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

11352140050176 is a wasteful number, since it uses less digits than its factorization.

11352140050176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 11352140050176 its reverse (67105004125311), we get a palindrome (78457144175487).

The spelling of 11352140050176 in words is "eleven trillion, three hundred fifty-two billion, one hundred forty million, fifty thousand, one hundred seventy-six".