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2083201039944 = 233332401297659
BaseRepresentation
bin11110010100001000011…
…101010011111001001000
321101011002212021121021000
4132110020131103321020
5233112343431234234
64233002004015000
7303335443450443
oct36241035237110
97334085247230
102083201039944
11733531750622
122978a3991460
131215a291015b
1472b8280465a
15392c7502899
hex1e508753e48

2083201039944 has 64 divisors (see below), whose sum is σ = 5786867592000. Its totient is φ = 694376582400.

The previous prime is 2083201039939. The next prime is 2083201039949. The reversal of 2083201039944 is 4499301023802.

2083201039944 is a `hidden beast` number, since 208 + 3 + 2 + 0 + 10 + 399 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2083201039939) and next prime (2083201039949).

It is a self number, because there is not a number n which added to its sum of digits gives 2083201039944.

It is not an unprimeable number, because it can be changed into a prime (2083201039949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6849787 + ... + 7147445.

It is an arithmetic number, because the mean of its divisors is an integer number (90419806125).

Almost surely, 22083201039944 is an apocalyptic number.

2083201039944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2083201039944 is an abundant number, since it is smaller than the sum of its proper divisors (3703666552056).

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

2083201039944 is a wasteful number, since it uses less digits than its factorization.

2083201039944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330075 (or 330065 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2083201039944 in words is "two trillion, eighty-three billion, two hundred one million, thirty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 32401 64802 97203 129604 194406 259208 291609 297659 388812 583218 595318 777624 874827 892977 1166436 1190636 1749654 1785954 2332872 2381272 2678931 3499308 3571908 5357862 6998616 7143816 8036793 10715724 16073586 21431448 32147172 64294344 9644449259 19288898518 28933347777 38577797036 57866695554 77155594072 86800043331 115733391108 173600086662 231466782216 260400129993 347200173324 520800259986 694400346648 1041600519972 2083201039944