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32343112201204 = 22729432267408607
BaseRepresentation
bin1110101101010011101111…
…01101101011001111110100
311020111222020002200101011001
413112221313231223033310
513214402143210414304
6152442115353253044
76545466320443420
oct726516755531764
9136458202611131
1032343112201204
11a33a700721a92
12376438aa04184
131507c3359223c
147db5b49dbb80
153b14ba2a5da4
hex1d6a77b6b3f4

32343112201204 has 96 divisors (see below), whose sum is σ = 68503360020480. Its totient is φ = 13066317677952.

The previous prime is 32343112201193. The next prime is 32343112201223. The reversal of 32343112201204 is 40210221134323.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78950269 + ... + 79358875.

It is an arithmetic number, because the mean of its divisors is an integer number (713576666880).

Almost surely, 232343112201204 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 32343112201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34251680010240).

32343112201204 is an abundant number, since it is smaller than the sum of its proper divisors (36160247819276).

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

32343112201204 is a wasteful number, since it uses less digits than its factorization.

32343112201204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410957 (or 410955 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 32343112201204 its reverse (40210221134323), we get a palindrome (72553333335527).

The spelling of 32343112201204 in words is "thirty-two trillion, three hundred forty-three billion, one hundred twelve million, two hundred one thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 43 58 86 116 172 203 301 406 602 812 1204 1247 2267 2494 4534 4988 8729 9068 15869 17458 31738 34916 63476 65743 97481 131486 194962 262972 389924 408607 460201 682367 817214 920402 1364734 1634428 1840804 2729468 2826949 2860249 5653898 5720498 11307796 11440996 11849603 17570101 19788643 23699206 35140202 39577286 47398412 70280404 79154572 82947221 122990707 165894442 245981414 331788884 491962828 509532929 926312069 1019065858 1852624138 2038131716 3566730503 3705248276 6484184483 7133461006 12968368966 14266922012 25936737932 26863050001 39831418967 53726100002 79662837934 107452200004 159325675868 188041350007 278819932769 376082700014 557639865538 752165400028 1115279731076 1155111150043 2310222300086 4620444600172 8085778050301 16171556100602 32343112201204