Search a number
-
+
1260845890612 = 22721121372811381
BaseRepresentation
bin10010010110010000010…
…001010111110000110100
311110112110111222121111121
4102112100101113300310
5131124203021444422
62403120303113324
7160043636145100
oct22262021276064
94415414877447
101260845890612
114467a36a9300
1218443a8a2844
1391b88374889
144504d490900
1522be682c8c7
hex12590457c34

1260845890612 has 216 divisors, whose sum is σ = 2854044724104. Its totient is φ = 485565696000.

The previous prime is 1260845890547. The next prime is 1260845890613. The reversal of 1260845890612 is 2160985480621.

It can be written as a sum of positive squares in 4 ways, for example, as 293683789476 + 967162101136 = 541926^2 + 983444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1260845890612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260845890613) 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 71 ways as a sum of consecutive naturals, for example, 912994162 + ... + 912995542.

It is an arithmetic number, because the mean of its divisors is an integer number (13213170019).

Almost surely, 21260845890612 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 1260845890612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427022362052).

1260845890612 is an abundant number, since it is smaller than the sum of its proper divisors (1593198833492).

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

1260845890612 is a wasteful number, since it uses less digits than its factorization.

1260845890612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 1260845890612 in words is "one trillion, two hundred sixty billion, eight hundred forty-five million, eight hundred ninety thousand, six hundred twelve".