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47422308248112 = 2437827261765213
BaseRepresentation
bin10101100100001010111011…
…10101100110101000110000
320012220112021012100210002010
422302011131311212220300
522203431341402414422
6244505301353122520
712663102002145210
oct1262053565465060
9205815235323063
1047422308248112
11141237627887a6
12539a9170b9440
13205cb9b1ab525
14b9d375574240
1557386a530b0c
hex2b215dd66a30

47422308248112 has 160 divisors (see below), whose sum is σ = 140233731466752. Its totient is φ = 13527468767232.

The previous prime is 47422308248089. The next prime is 47422308248143. The reversal of 47422308248112 is 21184280322474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727158418 + ... + 727223630.

Almost surely, 247422308248112 is an apocalyptic number.

47422308248112 is a gapful number since it is divisible by the number (42) 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 47422308248112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70116865733376).

47422308248112 is an abundant number, since it is smaller than the sum of its proper divisors (92811423218640).

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

47422308248112 is a wasteful number, since it uses less digits than its factorization.

47422308248112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68675 (or 68669 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 47422308248112 in words is "forty-seven trillion, four hundred twenty-two billion, three hundred eight million, two hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 827 1654 2481 2617 3308 4962 5234 5789 6616 7851 9924 10468 11578 13232 15702 17367 18319 19848 20936 23156 31404 34734 36638 39696 41872 46312 54957 62808 65213 69468 73276 92624 109914 125616 130426 138936 146552 195639 219828 260852 277872 293104 391278 439656 456491 521704 782556 879312 912982 1043408 1369473 1565112 1825964 2164259 2738946 3130224 3651928 4328518 5477892 6492777 7303856 8657036 10955784 12985554 15149813 17314072 21911568 25971108 30299626 34628144 45449439 51942216 53931151 60599252 90898878 103884432 107862302 121198504 161793453 170662421 181797756 215724604 242397008 323586906 341324842 363595512 377518057 431449208 511987263 647173812 682649684 727191024 755036114 862898416 1023974526 1132554171 1194636947 1294347624 1365299368 1510072228 2047949052 2265108342 2389273894 2588695248 2730598736 3020144456 3583910841 4095898104 4530216684 4778547788 6040288912 7167821682 8191796208 9060433368 9557095576 14335643364 18120866736 19114191152 28671286728 57342573456 141137822167 282275644334 423413466501 564551288668 846826933002 987964755169 1129102577336 1693653866004 1975929510338 2258205154672 2963894265507 3387307732008 3951859020676 5927788531014 6774615464016 7903718041352 11855577062028 15807436082704 23711154124056 47422308248112