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148840933020 = 223513231473503
BaseRepresentation
bin1000101010011110011…
…1000110011010011100
3112020011222110210212220
42022213213012122130
54414311234324040
6152213201425340
713516263025143
oct2124747063234
9466158423786
10148840933020
115813990aa5a
1224a1a63b250
13110603ba400
1472bd87875a
153d11e7c2d0
hex22a79c669c

148840933020 has 144 divisors (see below), whose sum is σ = 465837023232. Its totient is φ = 35455829760.

The previous prime is 148840932979. The next prime is 148840933027. The reversal of 148840933020 is 20339048841.

148840933020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148840933027) 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 47 ways as a sum of consecutive naturals, for example, 77589 + ... + 551091.

It is an arithmetic number, because the mean of its divisors is an integer number (3234979328).

Almost surely, 2148840933020 is an apocalyptic number.

148840933020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148840933020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232918511616).

148840933020 is an abundant number, since it is smaller than the sum of its proper divisors (316996090212).

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

148840933020 is a wasteful number, since it uses less digits than its factorization.

148840933020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473572 (or 473557 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 148840933020 in words is "one hundred forty-eight billion, eight hundred forty million, nine hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 338 372 390 403 465 507 620 676 780 806 845 930 1014 1209 1612 1690 1860 2015 2028 2418 2535 3380 4030 4836 5070 5239 6045 8060 10140 10478 12090 15717 20956 24180 26195 31434 52390 62868 78585 104780 157170 314340 473503 947006 1420509 1894012 2367515 2841018 4735030 5682036 6155539 7102545 9470060 12311078 14205090 14678593 18466617 24622156 28410180 29357186 30777695 36933234 44035779 58714372 61555390 73392965 73866468 80022007 88071558 92333085 123110780 146785930 160044014 176143116 184666170 190821709 220178895 240066021 293571860 320088028 369332340 381643418 400110035 440357790 480132042 572465127 763286836 800220070 880715580 954108545 960264084 1144930254 1200330105 1600440140 1908217090 2289860508 2400660210 2480682217 2862325635 3816434180 4801320420 4961364434 5724651270 7442046651 9922728868 11449302540 12403411085 14884093302 24806822170 29768186604 37210233255 49613644340 74420466510 148840933020