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2083963542192 = 243372318130949
BaseRepresentation
bin11110010100110101111…
…010000001101010110000
321101020002000001201201000
4132110311322001222300
5233120424131322232
64233205403042000
7303363362560200
oct36246572015260
97336060051630
102083963542192
117338930aa874
12297a77210300
1312169489440c
1472c15bac400
153931e41e27c
hex1e535e81ab0

2083963542192 has 240 divisors, whose sum is σ = 6960771372000. Its totient is φ = 595211742720.

The previous prime is 2083963542169. The next prime is 2083963542247. The reversal of 2083963542192 is 2912453693802.

2083963542192 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 9 + 6 + 3 + 542 + 1 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67319934 + ... + 67350882.

It is an arithmetic number, because the mean of its divisors is an integer number (29003214050).

Almost surely, 22083963542192 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 2083963542192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480385686000).

2083963542192 is an abundant number, since it is smaller than the sum of its proper divisors (4876807829808).

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

2083963542192 is a wasteful number, since it uses less digits than its factorization.

2083963542192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34161 (or 34142 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2083963542192 in words is "two trillion, eighty-three billion, nine hundred sixty-three million, five hundred forty-two thousand, one hundred ninety-two".