Search a number
-
+
12969961452 = 2232751468101
BaseRepresentation
bin11000001010001000…
…11110011111101100
31020110220021022022200
430011010132133230
5203030302231302
65542555141500
7636256565460
oct140504363754
936426238280
1012969961452
115556229008
12261b744890
1312b90b5306
148b078a4a0
1550d9bb81c
hex30511e7ec

12969961452 has 36 divisors (see below), whose sum is σ = 37468778256. Its totient is φ = 3705703200.

The previous prime is 12969961447. The next prime is 12969961483. The reversal of 12969961452 is 25416996921.

12969961452 is a `hidden beast` number, since 12 + 9 + 6 + 9 + 9 + 614 + 5 + 2 = 666.

12969961452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25733799 + ... + 25734302.

It is an arithmetic number, because the mean of its divisors is an integer number (1040799396).

Almost surely, 212969961452 is an apocalyptic number.

12969961452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12969961452 is an abundant number, since it is smaller than the sum of its proper divisors (24498816804).

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

12969961452 is a wasteful number, since it uses less digits than its factorization.

12969961452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51468118 (or 51468113 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 12969961452 in words is "twelve billion, nine hundred sixty-nine million, nine hundred sixty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 51468101 102936202 154404303 205872404 308808606 360276707 463212909 617617212 720553414 926425818 1080830121 1441106828 1852851636 2161660242 3242490363 4323320484 6484980726 12969961452