Search a number
-
+
2064781512192 = 29372193147991
BaseRepresentation
bin11110000010111110100…
…100011000111000000000
321022101120011200122100110
4132002332210120320000
5232312133031342232
64220314133351320
7302114132162400
oct36027644307000
97271504618313
102064781512192
1172673a375813
12294203198540
1311c9287c1ac9
1471d163ac800
1538a9a3c9acc
hex1e0be918e00

2064781512192 has 960 divisors, whose sum is σ = 7107933634560. Its totient is φ = 528817766400.

The previous prime is 2064781512151. The next prime is 2064781512193. The reversal of 2064781512192 is 2912151874602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064781512193) 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 95 ways as a sum of consecutive naturals, for example, 2083532817 + ... + 2083533807.

It is an arithmetic number, because the mean of its divisors is an integer number (7404097536).

Almost surely, 22064781512192 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 2064781512192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553966817280).

2064781512192 is an abundant number, since it is smaller than the sum of its proper divisors (5043152122368).

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

2064781512192 is a wasteful number, since it uses less digits than its factorization.

2064781512192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 2064781512192 in words is "two trillion, sixty-four billion, seven hundred eighty-one million, five hundred twelve thousand, one hundred ninety-two".