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118814305480 = 235131201190249
BaseRepresentation
bin110111010100111100…
…0100110110011001000
3102100200101002002101121
41232221320212303020
53421312430233410
6130325454525024
711404220635033
oct1565170466310
9370611062347
10118814305480
114643063a2a2
121b03a806774
13b286661390
145a71a9c01a
153155d439da
hex1ba9e26cc8

118814305480 has 64 divisors (see below), whose sum is σ = 288137430000. Its totient is φ = 43833139200.

The previous prime is 118814305457. The next prime is 118814305499. The reversal of 118814305480 is 84503418811.

It can be written as a sum of positive squares in 8 ways, for example, as 23998347396 + 94815958084 = 154914^2 + 307922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529396 + ... + 719644.

Almost surely, 2118814305480 is an apocalyptic number.

118814305480 is a gapful number since it is divisible by the number (10) 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 118814305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144068715000).

118814305480 is an abundant number, since it is smaller than the sum of its proper divisors (169323124520).

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

118814305480 is a wasteful number, since it uses less digits than its factorization.

118814305480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191474 (or 191470 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 118814305480 in words is "one hundred eighteen billion, eight hundred fourteen million, three hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1201 2402 4804 6005 9608 12010 15613 24020 31226 48040 62452 78065 124904 156130 190249 312260 380498 624520 760996 951245 1521992 1902490 2473237 3804980 4946474 7609960 9892948 12366185 19785896 24732370 49464740 98929480 228489049 456978098 913956196 1142445245 1827912392 2284890490 2970357637 4569780980 5940715274 9139561960 11881430548 14851788185 23762861096 29703576370 59407152740 118814305480