Search a number
-
+
13010602976 = 257132143969
BaseRepresentation
bin11000001110111111…
…00000101111100000
31020120201202010000022
430013133200233200
5203121203243401
65551010213012
7640262205050
oct140737405740
936521663008
1013010602976
115577167648
122631284168
1312c4644b57
148b5d29560
1551234871b
hex3077e0be0

13010602976 has 48 divisors (see below), whose sum is σ = 29296683360. Its totient is φ = 5571624960.

The previous prime is 13010602973. The next prime is 13010602991. The reversal of 13010602976 is 67920601031.

13010602976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010602973) 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 7 ways as a sum of consecutive naturals, for example, 273920 + ... + 317888.

It is an arithmetic number, because the mean of its divisors is an integer number (610347570).

Almost surely, 213010602976 is an apocalyptic number.

13010602976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13010602976 is an abundant number, since it is smaller than the sum of its proper divisors (16286080384).

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

13010602976 is a wasteful number, since it uses less digits than its factorization.

13010602976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45307 (or 45299 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 13010602976 in words is "thirteen billion, ten million, six hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1321 2642 5284 9247 10568 18494 21136 36988 42272 43969 73976 87938 147952 175876 295904 307783 351752 615566 703504 1231132 1407008 2462264 4924528 9849056 58083049 116166098 232332196 406581343 464664392 813162686 929328784 1626325372 1858657568 3252650744 6505301488 13010602976