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164357437530 = 235112133482887
BaseRepresentation
bin1001100100010001110…
…1110111100001011010
3120201020100111220120010
42121010131313201122
510143101001000110
6203301010142350
714605634111466
oct2310435674132
9521210456503
10164357437530
1163781541500
1227a2ab819b6
1312663c49920
147d5250d4a6
15441e2ba020
hex264477785a

164357437530 has 96 divisors (see below), whose sum is σ = 466929896832. Its totient is φ = 36779276160.

The previous prime is 164357437529. The next prime is 164357437583. The reversal of 164357437530 is 35734753461.

164357437530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164357437530.

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, 1694254 + ... + 1788633.

It is an arithmetic number, because the mean of its divisors is an integer number (4863853092).

Almost surely, 2164357437530 is an apocalyptic number.

164357437530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164357437530 is an abundant number, since it is smaller than the sum of its proper divisors (302572459302).

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

164357437530 is a wasteful number, since it uses less digits than its factorization.

164357437530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482932 (or 3482921 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 164357437530 in words is "one hundred sixty-four billion, three hundred fifty-seven million, four hundred thirty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4719 7865 9438 15730 23595 47190 3482887 6965774 10448661 17414435 20897322 34828870 38311757 45277531 52243305 76623514 90555062 104486610 114935271 135832593 191558785 226387655 229870542 271665186 383117570 421429327 452775310 498052841 574676355 679162965 842858654 996105682 1149352710 1264287981 1358325930 1494158523 2107146635 2490264205 2528575962 2988317046 4214293270 4980528410 5478581251 6321439905 7470792615 10957162502 12642879810 14941585230 16435743753 27392906255 32871487506 54785812510 82178718765 164357437530