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101727422819064 = 233374389149117989
BaseRepresentation
bin10111001000010101000010…
…111001101010101011111000
3111100012001021000002220021000
4113020111002321222223320
5101313200230220202224
61000204533300445000
730266364240632520
oct2710250271525370
9440161230086230
10101727422819064
112a4603a3175599
12b4ab5580a9760
13449bb16030173
141b198c25c6680
15bb626c8430c9
hex5c8542e6aaf8

101727422819064 has 512 divisors, whose sum is σ = 336413088000000. Its totient is φ = 27881444118528.

The previous prime is 101727422818993. The next prime is 101727422819083. The reversal of 101727422819064 is 460918224727101.

It is a happy number.

101727422819064 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 27 + 422 + 8 + 190 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101727422819064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 862118182 + ... + 862236170.

It is an arithmetic number, because the mean of its divisors is an integer number (657056812500).

Almost surely, 2101727422819064 is an apocalyptic number.

101727422819064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101727422819064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168206544000000).

101727422819064 is an abundant number, since it is smaller than the sum of its proper divisors (234685665180936).

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

101727422819064 is a wasteful number, since it uses less digits than its factorization.

101727422819064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118292 (or 118282 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 101727422819064 in words is "one hundred one trillion, seven hundred twenty-seven billion, four hundred twenty-two million, eight hundred nineteen thousand, sixty-four".