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11361247716 = 22371323463977
BaseRepresentation
bin10101001010010111…
…01110000111100100
31002022210012011221110
422211023232013210
5141231434411331
65115210545020
7551354004120
oct124513560744
932283164843
1011361247716
114900145625
122250a38170
1310c0a1b2b0
1479ac68580
1546764a946
hex2a52ee1e4

11361247716 has 192 divisors, whose sum is σ = 34154201088. Its totient is φ = 2856978432.

The previous prime is 11361247663. The next prime is 11361247769. The reversal of 11361247716 is 61774216311.

It is a happy number.

11361247716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11361247663) and next prime (11361247769).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11628220 + ... + 11629196.

It is an arithmetic number, because the mean of its divisors is an integer number (177886464).

Almost surely, 211361247716 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 11361247716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077100544).

11361247716 is an abundant number, since it is smaller than the sum of its proper divisors (22792953372).

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

11361247716 is a wasteful number, since it uses less digits than its factorization.

11361247716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1488 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The spelling of 11361247716 in words is "eleven billion, three hundred sixty-one million, two hundred forty-seven thousand, seven hundred sixteen".