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32065113354352 = 24134115672399477
BaseRepresentation
bin1110100101001101111011…
…01100001111000001110000
311012112101122212210201200221
413102212331230033001300
513200323323004314402
6152110302033222424
76516425254311511
oct722467554170160
9135471585721627
1032065113354352
11a242813609791
12371a525701a14
1314b795b8ca460
147cbd6185aa08
153a91493a2337
hex1d29bdb0f070

32065113354352 has 80 divisors (see below), whose sum is σ = 68580690054912. Its totient is φ = 14429104957440.

The previous prime is 32065113354271. The next prime is 32065113354397. The reversal of 32065113354352 is 25345331156023.

It is a junction number, because it is equal to n+sod(n) for n = 32065113354299 and 32065113354308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12163638 + ... + 14563114.

Almost surely, 232065113354352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32065113354352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34290345027456).

32065113354352 is an abundant number, since it is smaller than the sum of its proper divisors (36515576700560).

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

32065113354352 is a wasteful number, since it uses less digits than its factorization.

32065113354352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401106 (or 2401100 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 43.

The spelling of 32065113354352 in words is "thirty-two trillion, sixty-five billion, one hundred thirteen million, three hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 1567 2132 3134 4264 6268 8528 12536 20371 25072 40742 64247 81484 128494 162968 256988 325936 513976 835211 1027952 1670422 2399477 3340844 4798954 6681688 9597908 13363376 19195816 31193201 38391632 62386402 98378557 124772804 196757114 249545608 393514228 499091216 787028456 1278921241 1574056912 2557842482 3759980459 5115684964 7519960918 10231369928 15039921836 20462739856 30079843672 48879745967 60159687344 97759491934 154159198819 195518983868 308318397638 391037967736 616636795276 782075935472 1233273590552 2004069584647 2466547181104 4008139169294 8016278338588 16032556677176 32065113354352