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10457244714 = 2371728152121
BaseRepresentation
bin10011011110100110…
…01110010000101010
3222222210011001221210
421233103032100222
5132404023312324
64445355013550
7520066053630
oct115723162052
928883131853
1010457244714
114486929804
12203a13a2b6
13ca8652887
14712b89350
154130ccd29
hex26f4ce42a

10457244714 has 64 divisors (see below), whose sum is σ = 25398842112. Its totient is φ = 2801971200.

The previous prime is 10457244703. The next prime is 10457244739. The reversal of 10457244714 is 41744275401.

It is a happy number.

10457244714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174574 + ... + 226694.

It is an arithmetic number, because the mean of its divisors is an integer number (396856908).

Almost surely, 210457244714 is an apocalyptic number.

10457244714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457244714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699421056).

10457244714 is an abundant number, since it is smaller than the sum of its proper divisors (14941597398).

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

10457244714 is a wasteful number, since it uses less digits than its factorization.

10457244714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52431.

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 10457244714 in words is "ten billion, four hundred fifty-seven million, two hundred forty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 281 357 562 714 843 1686 1967 3934 4777 5901 9554 11802 14331 28662 33439 52121 66878 100317 104242 156363 200634 312726 364847 729694 886057 1094541 1772114 2189082 2658171 5316342 6202399 12404798 14646001 18607197 29292002 37214394 43938003 87876006 102522007 205044014 248982017 307566021 497964034 615132042 746946051 1493892102 1742874119 3485748238 5228622357 10457244714