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1013696096 = 25727116699
BaseRepresentation
bin111100011010111…
…100011001100000
32121122110002121212
4330122330121200
54034001233341
6244331005252
734056163130
oct7432743140
92548402555
101013696096
11480228976
12243599828
1313202419a
14988b4ac0
155ded95eb
hex3c6bc660

1013696096 has 48 divisors (see below), whose sum is σ = 2289369600. Its totient is φ = 432812160.

The previous prime is 1013696083. The next prime is 1013696107. The reversal of 1013696096 is 6906963101.

1013696096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52355 + ... + 69053.

It is an arithmetic number, because the mean of its divisors is an integer number (47695200).

Almost surely, 21013696096 is an apocalyptic number.

1013696096 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 1013696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144684800).

1013696096 is an abundant number, since it is smaller than the sum of its proper divisors (1275673504).

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

1013696096 is a wasteful number, since it uses less digits than its factorization.

1013696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16987 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 1013696096 is about 31838.5944413380. The cubic root of 1013696096 is about 1004.5446799289.

The spelling of 1013696096 in words is "one billion, thirteen million, six hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 542 1084 1897 2168 3794 4336 7588 8672 15176 16699 30352 33398 60704 66796 116893 133592 233786 267184 467572 534368 935144 1870288 3740576 4525429 9050858 18101716 31678003 36203432 63356006 72406864 126712012 144813728 253424024 506848048 1013696096