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86434350612 = 2231923533071013
BaseRepresentation
bin101000001111111100…
…0111000011000010100
322021002202110221200220
41100133320320120110
52404004143204422
6103412444034340
76146631600201
oct1203770703024
9267082427626
1086434350612
1133724a34a15
12149028329b0
1381c61ab47c
14427d530ca8
1523ad302e5c
hex141fe38614

86434350612 has 192 divisors, whose sum is σ = 226663557120. Its totient is φ = 25507063296.

The previous prime is 86434350601. The next prime is 86434350619. The reversal of 86434350612 is 21605343468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86434350619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85324618 + ... + 85325630.

It is an arithmetic number, because the mean of its divisors is an integer number (1180539360).

Almost surely, 286434350612 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 86434350612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113331778560).

86434350612 is an abundant number, since it is smaller than the sum of its proper divisors (140229206508).

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

86434350612 is a wasteful number, since it uses less digits than its factorization.

86434350612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 86434350612 in words is "eighty-six billion, four hundred thirty-four million, three hundred fifty thousand, six hundred twelve".