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48546744764584 = 231131127140123839
BaseRepresentation
bin10110000100111001010110…
…11110100000100010101000
320100220000122010001012112111
423002130223132200202220
522330342213124431314
6251130022222052104
713140246406634053
oct1302345336404250
9210800563035474
1048546744764584
1114517616899250
12554082671a034
132111c2783b4b1
14bdb964225a9a
15592c2b49aec4
hex2c272b7a08a8

48546744764584 has 64 divisors (see below), whose sum is σ = 103310504755200. Its totient is φ = 21186724305600.

The previous prime is 48546744764579. The next prime is 48546744764597.

48546744764584 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 48546744764584.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69715464 + ... + 70408375.

It is an arithmetic number, because the mean of its divisors is an integer number (1614226636800).

Almost surely, 248546744764584 is an apocalyptic number.

48546744764584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48546744764584 is an abundant number, since it is smaller than the sum of its proper divisors (54763759990616).

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

48546744764584 is a wasteful number, since it uses less digits than its factorization.

48546744764584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140124014 (or 140124010 counting only the distinct ones).

The product of its digits is 11560550400, while the sum is 76.

The spelling of 48546744764584 in words is "forty-eight trillion, five hundred forty-six billion, seven hundred forty-four million, seven hundred sixty-four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 127 248 254 341 508 682 1016 1364 1397 2728 2794 3937 5588 7874 11176 15748 31496 43307 86614 173228 346456 140123839 280247678 560495356 1120990712 1541362229 3082724458 4343839009 6165448916 8687678018 12330897832 17375356036 17795727553 34750712072 35591455106 47782229099 71182910212 95564458198 142365820424 191128916396 195753003083 382257832792 391506006166 551667554143 783012012332 1103335108286 1566024024664 2206670216572 4413340433144 6068343095573 12136686191146 24273372382292 48546744764584