Search a number
-
+
47744203416 = 23371343508393
BaseRepresentation
bin101100011101110001…
…101011101010011000
311120020101010211110020
4230131301223222120
51240240004002131
633533335550440
73310101014220
oct543561535230
9146211124406
1047744203416
11192803a3758
12930552b420
13466b603750
14244cccb080
151396805996
hexb1dc6ba98

47744203416 has 128 divisors (see below), whose sum is σ = 150321937920. Its totient is φ = 12299019264.

The previous prime is 47744203411. The next prime is 47744203421. The reversal of 47744203416 is 61430244774.

It is an interprime number because it is at equal distance from previous prime (47744203411) and next prime (47744203421).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47744203411) 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 31 ways as a sum of consecutive naturals, for example, 160285 + ... + 348108.

It is an arithmetic number, because the mean of its divisors is an integer number (1174390140).

Almost surely, 247744203416 is an apocalyptic number.

It is an amenable number.

47744203416 is an abundant number, since it is smaller than the sum of its proper divisors (102577734504).

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

47744203416 is a wasteful number, since it uses less digits than its factorization.

47744203416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508465 (or 508461 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 47744203416 in words is "forty-seven billion, seven hundred forty-four million, two hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 43 52 56 78 84 86 91 104 129 156 168 172 182 258 273 301 312 344 364 516 546 559 602 728 903 1032 1092 1118 1204 1677 1806 2184 2236 2408 3354 3612 3913 4472 6708 7224 7826 11739 13416 15652 23478 31304 46956 93912 508393 1016786 1525179 2033572 3050358 3558751 4067144 6100716 6609109 7117502 10676253 12201432 13218218 14235004 19827327 21352506 21860899 26436436 28470008 39654654 42705012 43721798 46263763 52872872 65582697 79309308 85410024 87443596 92527526 131165394 138791289 153026293 158618616 174887192 185055052 262330788 277582578 284191687 306052586 370110104 459078879 524661576 555165156 568383374 612105172 852575061 918157758 1110330312 1136766748 1224210344 1705150122 1836315516 1989341809 2273533496 3410300244 3672631032 3978683618 5968025427 6820600488 7957367236 11936050854 15914734472 23872101708 47744203416