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1983180745 = 57134792737
BaseRepresentation
bin111011000110100…
…1110111111001001
312010012201000112201
41312031032333021
513030143240440
6524442240201
7100100521030
oct16615167711
95105630481
101983180745
119284aa057
124741b6061
13257b38940
1414b55b717
15b918e19a
hex7634efc9

1983180745 has 32 divisors (see below), whose sum is σ = 2991356928. Its totient is φ = 1228566528.

The previous prime is 1983180743. The next prime is 1983180751. The reversal of 1983180745 is 5470813891.

It is a happy number.

It is not a de Polignac number, because 1983180745 - 21 = 1983180743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1983180695 and 1983180704.

It is not an unprimeable number, because it can be changed into a prime (1983180743) 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 31 ways as a sum of consecutive naturals, for example, 24984 + ... + 67753.

It is an arithmetic number, because the mean of its divisors is an integer number (93479904).

Almost surely, 21983180745 is an apocalyptic number.

It is an amenable number.

1983180745 is a deficient number, since it is larger than the sum of its proper divisors (1008176183).

1983180745 is a wasteful number, since it uses less digits than its factorization.

1983180745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92809.

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 1983180745 is about 44532.9175442167. The cubic root of 1983180745 is about 1256.3792807061.

It can be divided in two parts, 19831 and 80745, that added together give a triangular number (100576 = T448).

The spelling of 1983180745 in words is "one billion, nine hundred eighty-three million, one hundred eighty thousand, seven hundred forty-five".

Divisors: 1 5 7 13 35 47 65 91 235 329 455 611 1645 3055 4277 21385 92737 463685 649159 1205581 3245795 4358639 6027905 8439067 21793195 30510473 42195335 56662307 152552365 283311535 396636149 1983180745