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48508242880284 = 223211337363488317
BaseRepresentation
bin10110000011110001101001…
…00101011110011100011100
320100202100020211221211102200
423001320310211132130130
522324224340134132114
6251100213521051500
713134414323212365
oct1301706445363434
9210670224854380
1048508242880284
1114502259553760
125535280486b90
13210b3ccc6b635
14bd9b509cab6c
15591c2628a409
hex2c1e3495e71c

48508242880284 has 72 divisors (see below), whose sum is σ = 134162084220528. Its totient is φ = 14655848901120.

The previous prime is 48508242880271. The next prime is 48508242880291. The reversal of 48508242880284 is 48208824280584.

48508242880284 is a `hidden beast` number, since 4 + 8 + 50 + 8 + 2 + 428 + 80 + 2 + 84 = 666.

48508242880284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 181610707 + ... + 181877610.

Almost surely, 248508242880284 is an apocalyptic number.

48508242880284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48508242880284 is an abundant number, since it is smaller than the sum of its proper divisors (85653841340244).

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

48508242880284 is a wasteful number, since it uses less digits than its factorization.

48508242880284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363488675 (or 363488670 counting only the distinct ones).

The product of its (nonzero) digits is 83886080, while the sum is 63.

The spelling of 48508242880284 in words is "forty-eight trillion, five hundred eight billion, two hundred forty-two million, eight hundred eighty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 337 396 674 1011 1348 2022 3033 3707 4044 6066 7414 11121 12132 14828 22242 33363 44484 66726 133452 363488317 726976634 1090464951 1453953268 2180929902 3271394853 3998371487 4361859804 6542789706 7996742974 11995114461 13085579412 15993485948 23990228922 35985343383 47980457844 71970686766 122495562829 143941373532 244991125658 367486688487 489982251316 734973376974 1102460065461 1347451191119 1469946753948 2204920130922 2694902382238 4042353573357 4409840261844 5389804764476 8084707146714 12127060720071 16169414293428 24254121440142 48508242880284