Search a number
-
+
10531896696 = 2334235367199
BaseRepresentation
bin10011100111011111…
…11111110101111000
31000011222121210020000
421303233333311320
5133032131143241
64501023033000
7521663434116
oct116357776570
930158553200
1010531896696
114514a87962
12205b13b760
13cbac5c949
1471ca5cab6
15419926eb6
hex273bffd78

10531896696 has 320 divisors, whose sum is σ = 31990464000. Its totient is φ = 3229155072.

The previous prime is 10531896691. The next prime is 10531896721. The reversal of 10531896696 is 69669813501.

10531896696 is a `hidden beast` number, since 10 + 531 + 8 + 9 + 6 + 6 + 96 = 666.

It is a super-2 number, since 2×105318966962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531896691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52924005 + ... + 52924203.

It is an arithmetic number, because the mean of its divisors is an integer number (99970200).

Almost surely, 210531896696 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 10531896696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995232000).

10531896696 is an abundant number, since it is smaller than the sum of its proper divisors (21458567304).

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

10531896696 is a wasteful number, since it uses less digits than its factorization.

10531896696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10531896696 in words is "ten billion, five hundred thirty-one million, eight hundred ninety-six thousand, six hundred ninety-six".