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83419491438 = 2331907810071
BaseRepresentation
bin100110110110000110…
…0000110110001101110
321222022122111020102000
41031230030012301232
52331320342211223
6102153345113130
76012132656253
oct1155414066156
9258278436360
1083419491438
1132418145668
12142010287a6
137b356c372a
144074d7b42a
1522837c6543
hex136c306c6e

83419491438 has 32 divisors (see below), whose sum is σ = 185474085120. Its totient is φ = 27791881560.

The previous prime is 83419491437. The next prime is 83419491497.

83419491438 is a `hidden beast` number, since 8 + 34 + 1 + 94 + 91 + 438 = 666.

83419491438 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83419491433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302058 + ... + 508013.

It is an arithmetic number, because the mean of its divisors is an integer number (5796065160).

Almost surely, 283419491438 is an apocalyptic number.

83419491438 is an abundant number, since it is smaller than the sum of its proper divisors (102054593682).

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

83419491438 is a wasteful number, since it uses less digits than its factorization.

83419491438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811989 (or 811983 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 83419491438 in words is "eighty-three billion, four hundred nineteen million, four hundred ninety-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 1907 3814 5721 11442 17163 34326 51489 102978 810071 1620142 2430213 4860426 7290639 14581278 21871917 43743834 1544805397 3089610794 4634416191 9268832382 13903248573 27806497146 41709745719 83419491438