Search a number
-
+
11796979968 = 2834568913
BaseRepresentation
bin10101111110010011…
…11010000100000000
31010110011002200020000
422333021322010000
5143130011324333
65230334120000
7565224450414
oct127711720400
933404080200
1011796979968
1150040a6724
122352950000
131160090a27
147dca90d44
15490a1b713
hex2bf27a100

11796979968 has 90 divisors (see below), whose sum is σ = 35176521534. Its totient is φ = 3932319744.

The previous prime is 11796979951. The next prime is 11796979969. The reversal of 11796979968 is 86997969711.

It can be written as a sum of positive squares in only one way, i.e., 11601874944 + 195105024 = 107712^2 + 13968^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11796979896 and 11796979905.

It is not an unprimeable number, because it can be changed into a prime (11796979969) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 263721 + ... + 305192.

Almost surely, 211796979968 is an apocalyptic number.

11796979968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11796979968 is an abundant number, since it is smaller than the sum of its proper divisors (23379541566).

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

11796979968 is an frugal number, since it uses more digits than its factorization.

11796979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568941 (or 568918 counting only the distinct ones).

The product of its digits is 92588832, while the sum is 72.

The spelling of 11796979968 in words is "eleven billion, seven hundred ninety-six million, nine hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 568913 1137826 1706739 2275652 3413478 4551304 5120217 6826956 9102608 10240434 13653912 15360651 18205216 20480868 27307824 30721302 36410432 40961736 46081953 54615648 61442604 72820864 81923472 92163906 109231296 122885208 145641728 163846944 184327812 218462592 245770416 327693888 368655624 436925184 491540832 655387776 737311248 983081664 1310775552 1474622496 1966163328 2949244992 3932326656 5898489984 11796979968