Search a number
-
+
2086687425312 = 253471750913291
BaseRepresentation
bin11110010111011000010…
…000110100001100100000
321101111002211112022220000
4132113120100310030200
5233142013440102222
64234335545220000
7303521026314330
oct36273020641440
97344084468800
102086687425312
11734a60719546
122984b7491600
13121a09cc0889
1472dd385b0c0
153942d6209ac
hex1e5d8434320

2086687425312 has 480 divisors, whose sum is σ = 7441301831040. Its totient is φ = 559981486080.

The previous prime is 2086687425311. The next prime is 2086687425331. The reversal of 2086687425312 is 2135247866802.

2086687425312 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 68 + 7 + 42 + 531 + 2 = 666.

2086687425312 is an astonishing number since 2086687425312 = 425312 + ... + 2086687.

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

It is not an unprimeable number, because it can be changed into a prime (2086687425311) 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 79 ways as a sum of consecutive naturals, for example, 156993387 + ... + 157006677.

It is an arithmetic number, because the mean of its divisors is an integer number (15502712148).

Almost surely, 22086687425312 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 2086687425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720650915520).

2086687425312 is an abundant number, since it is smaller than the sum of its proper divisors (5354614405728).

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

2086687425312 is a wasteful number, since it uses less digits than its factorization.

2086687425312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2086687425312 in words is "two trillion, eighty-six billion, six hundred eighty-seven million, four hundred twenty-five thousand, three hundred twelve".