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48742179822 = 2327794919973
BaseRepresentation
bin101101011001010000…
…101010001111101110
311122210221000021201100
4231121100222033232
51244310444223242
634220350023530
73343606456350
oct553120521756
9148727007640
1048742179822
1119742765146
1295437a7ba6
13479a2b282b
14250566d0d0
15140423754c
hexb5942a3ee

48742179822 has 96 divisors (see below), whose sum is σ = 122483911680. Its totient is φ = 13720674240.

The previous prime is 48742179779. The next prime is 48742179839. The reversal of 48742179822 is 22897124784.

48742179822 is a `hidden beast` number, since 487 + 42 + 17 + 98 + 22 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4882428 + ... + 4892400.

It is an arithmetic number, because the mean of its divisors is an integer number (1275874080).

Almost surely, 248742179822 is an apocalyptic number.

48742179822 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48742179822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61241955840).

48742179822 is an abundant number, since it is smaller than the sum of its proper divisors (73741731858).

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

48742179822 is a wasteful number, since it uses less digits than its factorization.

48742179822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10555 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

It can be divided in two parts, 48742179 and 822, that added together give a triangular number (48743001 = T9873).

The spelling of 48742179822 in words is "forty-eight billion, seven hundred forty-two million, one hundred seventy-nine thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 491 553 711 982 1106 1422 1473 1659 2946 3318 3437 4419 4977 6874 8838 9954 9973 10311 19946 20622 29919 30933 38789 59838 61866 69811 77578 89757 116367 139622 179514 209433 232734 271523 349101 418866 543046 628299 698202 787867 814569 1256598 1575734 1629138 2363601 2443707 4727202 4887414 4896743 5515069 7090803 9793486 11030138 14181606 14690229 16545207 29380458 33090414 34277201 44070687 49635621 68554402 88141374 99271242 102831603 205663206 308494809 386842697 616989618 773685394 1160528091 2321056182 2707898879 3481584273 5415797758 6963168546 8123696637 16247393274 24371089911 48742179822