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34483137966 = 2331087587467
BaseRepresentation
bin100000000111010110…
…101110110110101110
310022000012002220112000
4200013112232312232
51031110140403331
623501421153130
72330344556634
oct400726566656
9108005086460
1034483137966
1113695917a32
1268243bb7a6
133337116864
141951a05354
15d6c4d60e6
hex8075aedae

34483137966 has 32 divisors (see below), whose sum is σ = 76699822080. Its totient is φ = 11483785368.

The previous prime is 34483137901. The next prime is 34483137971. The reversal of 34483137966 is 66973138443.

It is a happy number.

34483137966 is a `hidden beast` number, since 3 + 448 + 3 + 137 + 9 + 66 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 235036 + ... + 352431.

It is an arithmetic number, because the mean of its divisors is an integer number (2396869440).

Almost surely, 234483137966 is an apocalyptic number.

34483137966 is an abundant number, since it is smaller than the sum of its proper divisors (42216684114).

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

34483137966 is a wasteful number, since it uses less digits than its factorization.

34483137966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588565 (or 588559 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 34483137966 in words is "thirty-four billion, four hundred eighty-three million, one hundred thirty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 1087 2174 3261 6522 9783 19566 29349 58698 587467 1174934 1762401 3524802 5287203 10574406 15861609 31723218 638576629 1277153258 1915729887 3831459774 5747189661 11494379322 17241568983 34483137966