Search a number
-
+
42745566571064 = 237763313688769
BaseRepresentation
bin10011011100000011110100…
…10011111010101000111000
312121100102210000210220110122
421232001322103322220320
521100320410020233224
6230525013040232412
712001156662613220
oct1156017223725070
9177312700726418
1042745566571064
1112690324a55845
12496446390b708
131ab0b7469cb46
14a7ac79c63080
154e1d9c30815e
hex26e07a4faa38

42745566571064 has 16 divisors (see below), whose sum is σ = 91597642652400. Its totient is φ = 18319528530432.

The previous prime is 42745566571061. The next prime is 42745566571073. The reversal of 42745566571064 is 46017566554724.

42745566571064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427455665710642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42745566570988 and 42745566571006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42745566571061) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 381656844329 + ... + 381656844440.

It is an arithmetic number, because the mean of its divisors is an integer number (5724852665775).

Almost surely, 242745566571064 is an apocalyptic number.

It is an amenable number.

42745566571064 is an abundant number, since it is smaller than the sum of its proper divisors (48852076081336).

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

42745566571064 is a wasteful number, since it uses less digits than its factorization.

42745566571064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763313688782 (or 763313688778 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 62.

The spelling of 42745566571064 in words is "forty-two trillion, seven hundred forty-five billion, five hundred sixty-six million, five hundred seventy-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 763313688769 1526627377538 3053254755076 5343195821383 6106509510152 10686391642766 21372783285532 42745566571064