Search a number
-
+
48538534326072 = 2337292343543219
BaseRepresentation
bin10110000100101010000100…
…00110001010111100111000
320100212020102220122201021020
423002111002012022330320
522330223404241413242
6251122143403542440
713136536062232410
oct1302250206127470
9210766386581236
1048538534326072
111451409325927a
12553b114b2aa20
132111219827a5b
14bdb3c5a1d640
155928ea7836ec
hex2c254218af38

48538534326072 has 96 divisors (see below), whose sum is σ = 143628549417600. Its totient is φ = 13389940464768.

The previous prime is 48538534326031. The next prime is 48538534326089. The reversal of 48538534326072 is 27062343583584.

It is a junction number, because it is equal to n+sod(n) for n = 48538534325997 and 48538534326015.

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 23 ways as a sum of consecutive naturals, for example, 171630322 + ... + 171912897.

It is an arithmetic number, because the mean of its divisors is an integer number (1496130723100).

Almost surely, 248538534326072 is an apocalyptic number.

48538534326072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48538534326072 is an abundant number, since it is smaller than the sum of its proper divisors (95090015091528).

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

48538534326072 is a wasteful number, since it uses less digits than its factorization.

48538534326072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343543293 (or 343543260 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 60.

The spelling of 48538534326072 in words is "forty-eight trillion, five hundred thirty-eight billion, five hundred thirty-four million, three hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 841 1218 1624 1682 2436 2523 3364 4872 5046 5887 6728 10092 11774 17661 20184 23548 35322 47096 70644 141288 343543219 687086438 1030629657 1374172876 2061259314 2404802533 2748345752 4122518628 4809605066 7214407599 8245037256 9619210132 9962753351 14428815198 19238420264 19925506702 28857630396 29888260053 39851013404 57715260792 59776520106 69739273457 79702026808 119553040212 139478546914 209217820371 239106080424 278957093828 288919847179 418435640742 557914187656 577839694358 836871281484 866759541537 1155679388716 1673742562968 1733519083074 2022438930253 2311358777432 3467038166148 4044877860506 6067316790759 6934076332296 8089755721012 12134633581518 16179511442024 24269267163036 48538534326072