Search a number
-
+
2116740801024 = 2932459362153
BaseRepresentation
bin11110110011010111100…
…101010110001000000000
321111100200022020222222100
4132303113211112020000
5234140041121113044
64300230045310400
7305633544640443
oct36632745261000
97440608228870
102116740801024
11746782aa9533
122a22a4265400
131247b9453725
1474644ddb65a
153a0dbc8e869
hex1ecd7956200

2116740801024 has 60 divisors (see below), whose sum is σ = 6109057286046. Its totient is φ = 705580265472.

The previous prime is 2116740800983. The next prime is 2116740801029. The reversal of 2116740801024 is 4201080476112.

It is a happy number.

2116740801024 is a `hidden beast` number, since 211 + 6 + 7 + 408 + 0 + 10 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1890515001600 + 226225799424 = 1374960^2 + 475632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2116740801024.

It is not an unprimeable number, because it can be changed into a prime (2116740801029) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 229676469 + ... + 229685684.

Almost surely, 22116740801024 is an apocalyptic number.

2116740801024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2116740801024 is an abundant number, since it is smaller than the sum of its proper divisors (3992316485022).

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

2116740801024 is an equidigital number, since it uses as much as digits as its factorization.

2116740801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459362177 (or 459362158 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2116740801024 in words is "two trillion, one hundred sixteen billion, seven hundred forty million, eight hundred one thousand, twenty-four".

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 1152 1536 2304 4608 459362153 918724306 1378086459 1837448612 2756172918 3674897224 4134259377 5512345836 7349794448 8268518754 11024691672 14699588896 16537037508 22049383344 29399177792 33074075016 44098766688 58798355584 66148150032 88197533376 117596711168 132296300064 176395066752 235193422336 264592600128 352790133504 529185200256 705580267008 1058370400512 2116740801024