Search a number
-
+
10496309384 = 23111916737591
BaseRepresentation
bin10011100011010000…
…01111100010001000
31000002111122202121102
421301220033202020
5132444023400014
64453312200532
7521052105041
oct116150174210
930074582542
1010496309384
1144a6990660
12204b239148
13cb377c772
147180378c8
154167478de
hex271a0f888

10496309384 has 64 divisors (see below), whose sum is σ = 22735641600. Its totient is φ = 4492756800.

The previous prime is 10496309347. The next prime is 10496309413. The reversal of 10496309384 is 48390369401.

It is a happy number.

It is a super-2 number, since 2×104963093842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260429 + ... + 298019.

It is an arithmetic number, because the mean of its divisors is an integer number (355244400).

Almost surely, 210496309384 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 10496309384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11367820800).

10496309384 is an abundant number, since it is smaller than the sum of its proper divisors (12239332216).

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

10496309384 is a wasteful number, since it uses less digits than its factorization.

10496309384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37794 (or 37790 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 10496309384 in words is "ten billion, four hundred ninety-six million, three hundred nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 167 209 334 418 668 836 1336 1672 1837 3173 3674 6346 7348 12692 14696 25384 34903 37591 69806 75182 139612 150364 279224 300728 413501 714229 827002 1428458 1654004 2856916 3308008 5713832 6277697 7856519 12555394 15713038 25110788 31426076 50221576 62852152 69054667 119276243 138109334 238552486 276218668 477104972 552437336 954209944 1312038673 2624077346 5248154692 10496309384