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152285329482 = 23113132950581
BaseRepresentation
bin1000110111010011101…
…0011011100001001010
3112120002000201021120020
42031310322123201022
54443340021020412
6153543043041310
714000525641266
oct2156472334112
9476060637506
10152285329482
115964710a000
1225620070236
131148bb88c20
1475290c10a6
153e6455418c
hex2374e9b84a

152285329482 has 128 divisors (see below), whose sum is σ = 373222321920. Its totient is φ = 41127609600.

The previous prime is 152285329477. The next prime is 152285329499. The reversal of 152285329482 is 284923582251.

It is a happy number.

152285329482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1522853294823 (a number of 35 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2985432 + ... + 3036012.

It is an arithmetic number, because the mean of its divisors is an integer number (2915799390).

Almost surely, 2152285329482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152285329482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611160960).

152285329482 is an abundant number, since it is smaller than the sum of its proper divisors (220936992438).

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

152285329482 is a wasteful number, since it uses less digits than its factorization.

152285329482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50661 (or 50639 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 152285329482 in words is "one hundred fifty-two billion, two hundred eighty-five million, three hundred twenty-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 121 143 174 242 286 319 363 377 429 638 726 754 858 957 1131 1331 1573 1914 2262 2662 3146 3509 3993 4147 4719 7018 7986 8294 9438 10527 12441 17303 21054 24882 34606 38599 45617 50581 51909 77198 91234 101162 103818 115797 136851 151743 231594 273702 303486 501787 556391 657553 1003574 1112782 1315106 1466849 1505361 1669173 1972659 2933698 3010722 3338346 3945318 4400547 6120301 7233083 8801094 12240602 14466166 16135339 18360903 19069037 21699249 32270678 36721806 38138074 43398498 48406017 57207111 67323311 79563913 96812034 114414222 134646622 159127826 177488729 201969933 209759407 238691739 354977458 403939866 419518814 477383478 532466187 629278221 875203043 1064932374 1258556442 1750406086 1952376019 2307353477 2625609129 3904752038 4614706954 5251218258 5857128057 6922060431 11714256114 13844120862 25380888247 50761776494 76142664741 152285329482