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118822275072 = 2113225392
BaseRepresentation
bin110111010101001011…
…1000000100000000000
3102100200221001222121200
41232222113000200000
53421322000300242
6130330341421200
711404345450014
oct1565227004000
9370627058550
10118822275072
1146435092a36
121b04140a800
13b2881c1a07
145a72b74544
1531568ba04c
hex1baa5c0800

118822275072 has 108 divisors (see below), whose sum is σ = 343315762335. Its totient is φ = 39591825408.

The previous prime is 118822275059. The next prime is 118822275083. The reversal of 118822275072 is 270572228811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

118822275072 is a `hidden beast` number, since 118 + 8 + 2 + 2 + 27 + 507 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59411137536 + 59411137536 = 243744^2 + 243744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=243744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46797579 + ... + 46800117.

Almost surely, 2118822275072 is an apocalyptic number.

118822275072 is a gapful number since it is divisible by the number (12) 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 118822275072

118822275072 is an abundant number, since it is smaller than the sum of its proper divisors (224493487263).

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

118822275072 is an frugal number, since it uses more digits than its factorization.

118822275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 118822275072 in words is "one hundred eighteen billion, eight hundred twenty-two million, two hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2539 3072 4608 5078 6144 7617 9216 10156 15234 18432 20312 22851 30468 40624 45702 60936 81248 91404 121872 162496 182808 243744 324992 365616 487488 649984 731232 974976 1299968 1462464 1949952 2599936 2924928 3899904 5199872 5849856 6446521 7799808 11699712 12893042 15599616 19339563 23399424 25786084 38679126 46798848 51572168 58018689 77358252 103144336 116037378 154716504 206288672 232074756 309433008 412577344 464149512 618866016 825154688 928299024 1237732032 1650309376 1856598048 2475464064 3300618752 3713196096 4950928128 6601237504 7426392192 9901856256 13202475008 14852784384 19803712512 29705568768 39607425024 59411137536 118822275072