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47242107302260 = 225131183315355397
BaseRepresentation
bin10101011110111011010010…
…00001100011000101110100
320012021022010200111020221111
422233131221001203011310
522143003313432133020
6244250420253324404
712644062313321143
oct1257355101430564
9205238120436844
1047242107302260
11140642a0a77a72
12536ba06196704
132048bb0a3b310
14b9475cbcb75a
1556dd20382d5a
hex2af769063174

47242107302260 has 48 divisors (see below), whose sum is σ = 106848878600016. Its totient is φ = 17441764365312.

The previous prime is 47242107302209. The next prime is 47242107302263. The reversal of 47242107302260 is 6220370124274.

It is a happy number.

47242107302260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3381634122084 + 43860473180176 = 1838922^2 + 6622724^2 .

It is a super-2 number, since 2×472421073022602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47242107302263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4601119 + ... + 10754278.

It is an arithmetic number, because the mean of its divisors is an integer number (2226018304167).

Almost surely, 247242107302260 is an apocalyptic number.

It is an amenable number.

47242107302260 is an abundant number, since it is smaller than the sum of its proper divisors (59606771297756).

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

47242107302260 is a wasteful number, since it uses less digits than its factorization.

47242107302260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15367252 (or 15367250 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 47242107302260 in words is "forty-seven trillion, two hundred forty-two billion, one hundred seven million, three hundred two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 11833 23666 47332 59165 118330 153829 236660 307658 615316 769145 1538290 3076580 15355397 30710794 61421588 76776985 153553970 199620161 307107940 399240322 798480644 998100805 1996201610 3992403220 181700412701 363400825402 726801650804 908502063505 1817004127010 2362105365113 3634008254020 4724210730226 9448421460452 11810526825565 23621053651130 47242107302260