Search a number
-
+
12962696976 = 24358340169
BaseRepresentation
bin11000001001010001…
…10000111100010000
31020110101121020100000
430010220300330100
5203021422300401
65542135330000
7636141051315
oct140450607420
936411536300
1012962696976
115552117109
122619220900
1312b77408c8
148ad818d0c
1550d034186
hex304a30f10

12962696976 has 120 divisors (see below), whose sum is σ = 38075375520. Its totient is φ = 4268733696.

The previous prime is 12962696951. The next prime is 12962696977. The reversal of 12962696976 is 67969626921.

It is not an unprimeable number, because it can be changed into a prime (12962696977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302620 + ... + 342788.

It is an arithmetic number, because the mean of its divisors is an integer number (317294796).

Almost surely, 212962696976 is an apocalyptic number.

12962696976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12962696976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19037687760).

12962696976 is an abundant number, since it is smaller than the sum of its proper divisors (25112678544).

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

12962696976 is an equidigital number, since it uses as much as digits as its factorization.

12962696976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40275 (or 40257 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 12962696976 in words is "twelve billion, nine hundred sixty-two million, six hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 243 249 324 332 432 486 498 648 664 747 972 996 1296 1328 1494 1944 1992 2241 2988 3888 3984 4482 5976 6723 8964 11952 13446 17928 20169 26892 35856 40169 40338 53784 80338 80676 107568 120507 160676 161352 241014 321352 322704 361521 482028 642704 723042 964056 1084563 1446084 1928112 2169126 2892168 3253689 3334027 4338252 5784336 6507378 6668054 8676504 9761067 10002081 13014756 13336108 17353008 19522134 20004162 26029512 26672216 30006243 39044268 40008324 52059024 53344432 60012486 78088536 80016648 90018729 120024972 156177072 160033296 180037458 240049944 270056187 360074916 480099888 540112374 720149832 810168561 1080224748 1440299664 1620337122 2160449496 3240674244 4320898992 6481348488 12962696976