Search a number
-
+
8021493695432 = 237220462994121
BaseRepresentation
bin111010010111010011001…
…0010000100001111001000
31001101211212200120021001002
41310232212102010033020
52022411004341223212
625021005012314132
71455351043262300
oct164564622041710
931354780507032
108021493695432
112612995086798
12a96752012948
13462567894539
141da3570a6600
15dd9cddd2ac2
hex74ba64843c8

8021493695432 has 24 divisors (see below), whose sum is σ = 17495859974310. Its totient is φ = 3437783012160.

The previous prime is 8021493695417. The next prime is 8021493695437. The reversal of 8021493695432 is 2345963941208.

It can be written as a sum of positive squares in only one way, i.e., 5999824898116 + 2021668797316 = 2449454^2 + 1421854^2 .

It is a super-2 number, since 2×80214936954322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (8021493695437) 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 5 ways as a sum of consecutive naturals, for example, 10231496669 + ... + 10231497452.

Almost surely, 28021493695432 is an apocalyptic number.

It is an amenable number.

8021493695432 is an abundant number, since it is smaller than the sum of its proper divisors (9474366278878).

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

8021493695432 is a wasteful number, since it uses less digits than its factorization.

8021493695432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462994141 (or 20462994130 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 8021493695432 in words is "eight trillion, twenty-one billion, four hundred ninety-three million, six hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 20462994121 40925988242 81851976484 143240958847 163703952968 286481917694 572963835388 1002686711929 1145927670776 2005373423858 4010746847716 8021493695432