Search a number
-
+
10246691136 = 2631141731621
BaseRepresentation
bin10011000101100000…
…00001100101000000
3222110002221211202010
421202300001211000
5131441123104021
64412434052520
7511631303043
oct114260014500
928402854663
1010246691136
114388a98790
121b9b71a140
13c73b41a66
146d2c1ac5a
153ee88b976
hex262c01940

10246691136 has 224 divisors, whose sum is σ = 30731008896. Its totient is φ = 2985984000.

The previous prime is 10246691131. The next prime is 10246691141. The reversal of 10246691136 is 63119664201.

It is an interprime number because it is at equal distance from previous prime (10246691131) and next prime (10246691141).

It is a junction number, because it is equal to n+sod(n) for n = 10246691094 and 10246691103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10246691131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6320406 + ... + 6322026.

It is an arithmetic number, because the mean of its divisors is an integer number (137192004).

Almost surely, 210246691136 is an apocalyptic number.

10246691136 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 10246691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365504448).

10246691136 is an abundant number, since it is smaller than the sum of its proper divisors (20484317760).

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

10246691136 is a wasteful number, since it uses less digits than its factorization.

10246691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 10246691136 in words is "ten billion, two hundred forty-six million, six hundred ninety-one thousand, one hundred thirty-six".