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1012432626352 = 24753182393559
BaseRepresentation
bin11101011101110011010…
…11111110001010110000
310120210021011121021121201
432232321223332022300
5113041430223020402
62053034412500544
7133101011222050
oct16567153761260
93523234537551
101012432626352
11360408907104
1214427177a754
1374619c56194
14370056bd560
151b507e92687
hexebb9afe2b0

1012432626352 has 80 divisors (see below), whose sum is σ = 2285390868480. Its totient is φ = 425474839296.

The previous prime is 1012432626347. The next prime is 1012432626353. The reversal of 1012432626352 is 2536262342101.

It is not an unprimeable number, because it can be changed into a prime (1012432626353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10774549 + ... + 10868107.

It is an arithmetic number, because the mean of its divisors is an integer number (28567385856).

Almost surely, 21012432626352 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 1012432626352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142695434240).

1012432626352 is an abundant number, since it is smaller than the sum of its proper divisors (1272958242128).

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

1012432626352 is a wasteful number, since it uses less digits than its factorization.

1012432626352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95450 (or 95444 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 1012432626352 its reverse (2536262342101), we get a palindrome (3548694968453).

The spelling of 1012432626352 in words is "one trillion, twelve billion, four hundred thirty-two million, six hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1823 2968 3646 5936 7292 12761 14584 25522 29168 51044 93559 96619 102088 187118 193238 204176 374236 386476 654913 676333 748472 772952 1309826 1352666 1496944 1545904 2619652 2705332 4958627 5239304 5410664 9917254 10478608 10821328 19834508 34710389 39669016 69420778 79338032 138841556 170558057 277683112 341116114 555366224 682232228 1193906399 1364464456 2387812798 2728928912 4775625596 9039577021 9551251192 18079154042 19102502384 36158308084 63277039147 72316616168 126554078294 144633232336 253108156588 506216313176 1012432626352