Search a number
-
+
1364397803824 = 2411113251273323
BaseRepresentation
bin10011110110101100011…
…100100100100100110000
311211102202020011211200111
4103312230130210210300
5134323241314210244
62522443512031104
7200401022656516
oct23665434444460
94742666154614
101364397803824
11486701a99370
121a051a092494
139b87b9c8ac3
144a0741444b6
15257577cae34
hex13dac724930

1364397803824 has 80 divisors (see below), whose sum is σ = 2920963296384. Its totient is φ = 612241280000.

The previous prime is 1364397803819. The next prime is 1364397803827. The reversal of 1364397803824 is 4283087934631.

It is not an unprimeable number, because it can be changed into a prime (1364397803827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855227 + ... + 5128549.

Almost surely, 21364397803824 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 1364397803824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460481648192).

1364397803824 is an abundant number, since it is smaller than the sum of its proper divisors (1556565492560).

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

1364397803824 is a wasteful number, since it uses less digits than its factorization.

1364397803824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273706 (or 273700 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 1364397803824 in words is "one trillion, three hundred sixty-four billion, three hundred ninety-seven million, eight hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 251 452 502 904 1004 1243 1808 2008 2486 2761 4016 4972 5522 9944 11044 19888 22088 28363 44176 56726 113452 226904 273323 311993 453808 546646 623986 1093292 1247972 2186584 2495944 3006553 4373168 4991888 6013106 12026212 24052424 30885499 48104848 61770998 68604073 123541996 137208146 247083992 274416292 339740489 494167984 548832584 679480978 754644803 1097665168 1358961956 1509289606 2717923912 3018579212 5435847824 6037158424 7752260249 12074316848 15504520498 31009040996 62018081992 85274862739 124036163984 170549725478 341099450956 682198901912 1364397803824