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83132645821000 = 235383132645821
BaseRepresentation
bin10010111001101111010011…
…110100101100101001001000
3101220100101220000122011210021
4102321233103310230221020
541344021124312233000
6452450335452230224
723340064314213556
oct2271572364545110
9356311800564707
1083132645821000
11245413a2336476
1293a77b6a6b374
1337504b4760aa9
1416758da4c4bd6
1599270e42311a
hex4b9bd3d2ca48

83132645821000 has 32 divisors (see below), whose sum is σ = 194530391223480. Its totient is φ = 33253058328000.

The previous prime is 83132645820979. The next prime is 83132645821031. The reversal of 83132645821000 is 12854623138.

83132645821000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38512623869316 + 44620021951684 = 6205854^2 + 6679822^2 .

It is a super-2 number, since 2×831326458210002 (a number of 29 digits) contains 22 as substring.

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, 41566321911 + ... + 41566323910.

Almost surely, 283132645821000 is an apocalyptic number.

It is an amenable number.

83132645821000 is an abundant number, since it is smaller than the sum of its proper divisors (111397745402480).

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

83132645821000 is a wasteful number, since it uses less digits than its factorization.

83132645821000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83132645842 (or 83132645828 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 83132645821000 in words is "eighty-three trillion, one hundred thirty-two billion, six hundred forty-five million, eight hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 83132645821 166265291642 332530583284 415663229105 665061166568 831326458210 1662652916420 2078316145525 3325305832840 4156632291050 8313264582100 10391580727625 16626529164200 20783161455250 41566322910500 83132645821000