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84251009340 = 22325468061163
BaseRepresentation
bin100111001110111000…
…0000110000100111100
322001110121010201112100
41032131300012010330
52340021224244330
6102412051305100
76041550522561
oct1163560060474
9261417121470
1084251009340
1132804553343
12143b35ab190
137c38a60464
14411358c868
1522d17c7060
hex139dc0613c

84251009340 has 36 divisors (see below), whose sum is σ = 255561395544. Its totient is φ = 22466935776.

The previous prime is 84251009333. The next prime is 84251009341. The reversal of 84251009340 is 4390015248.

84251009340 is a `hidden beast` number, since 8 + 425 + 100 + 93 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84251009295 and 84251009304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84251009341) 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 11 ways as a sum of consecutive naturals, for example, 234030402 + ... + 234030761.

It is an arithmetic number, because the mean of its divisors is an integer number (7098927654).

Almost surely, 284251009340 is an apocalyptic number.

It is an amenable number.

84251009340 is an abundant number, since it is smaller than the sum of its proper divisors (171310386204).

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

84251009340 is a wasteful number, since it uses less digits than its factorization.

84251009340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468061178 (or 468061173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 84251009340 in words is "eighty-four billion, two hundred fifty-one million, nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 468061163 936122326 1404183489 1872244652 2340305815 2808366978 4212550467 4680611630 5616733956 7020917445 8425100934 9361223260 14041834890 16850201868 21062752335 28083669780 42125504670 84251009340