Search a number
-
+
10115623532616 = 23372311072593223
BaseRepresentation
bin1001001100110011101000…
…1001011011100001001000
31022211001012012022021201020
42103030322021123201020
52311213244111020431
633303015302352440
72062554403222500
oct223147211334110
938731165267636
1010115623532616
113250014852448
121174585a2b720
13584b8c72bc04
1426d855124a00
151281e5aac696
hex9333a25b848

10115623532616 has 192 divisors, whose sum is σ = 30650662932480. Its totient is φ = 2770805842560.

The previous prime is 10115623532611. The next prime is 10115623532629. The reversal of 10115623532616 is 61623532651101.

It is a happy number.

It is a super-2 number, since 2×101156235326162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10115623532611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604181 + ... + 5197403.

It is an arithmetic number, because the mean of its divisors is an integer number (159638869440).

Almost surely, 210115623532616 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 10115623532616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325331466240).

10115623532616 is an abundant number, since it is smaller than the sum of its proper divisors (20535039399864).

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

10115623532616 is a wasteful number, since it uses less digits than its factorization.

10115623532616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593384 (or 2593373 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 10115623532616 in words is "ten trillion, one hundred fifteen billion, six hundred twenty-three million, five hundred thirty-two thousand, six hundred sixteen".