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32242133303104 = 263722771328497
BaseRepresentation
bin1110101010010111101001…
…11001101111111101000000
311020011022120201001212011011
413111023310321233331000
513211223342111144404
6152323455341130304
76535263056122534
oct725136471577500
9136138521055134
1032242133303104
11a3008a277629a
1237488a9259994
1314cb56002346a
147d6755963bc4
153ada5a157604
hex1d52f4e6ff40

32242133303104 has 84 divisors (see below), whose sum is σ = 65993858195916. Its totient is φ = 15628724527104.

The previous prime is 32242133303047. The next prime is 32242133303117. The reversal of 32242133303104 is 40130333124223.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26065456704 + 32216067846400 = 161448^2 + 5675920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23605384 + ... + 24933880.

It is an arithmetic number, because the mean of its divisors is an integer number (785641168999).

Almost surely, 232242133303104 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 32242133303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32996929097958).

32242133303104 is an abundant number, since it is smaller than the sum of its proper divisors (33751724892812).

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

32242133303104 is a wasteful number, since it uses less digits than its factorization.

32242133303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328860 (or 1328813 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 32242133303104 its reverse (40130333124223), we get a palindrome (72372466427327).

The spelling of 32242133303104 in words is "thirty-two trillion, two hundred forty-two billion, one hundred thirty-three million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 277 296 554 592 1108 1184 1369 2216 2368 2738 4432 5476 8864 10249 10952 17728 20498 21904 40996 43808 81992 87616 163984 327968 379213 655936 758426 1328497 1516852 2656994 3033704 5313988 6067408 10627976 12134816 21255952 24269632 42511904 49154389 85023808 98308778 196617556 367993669 393235112 735987338 786470224 1471974676 1572940448 1818712393 2943949352 3145880896 3637424786 5887898704 7274849572 11775797408 13615765753 14549699144 23551594816 27231531506 29099398288 54463063012 58198796576 108926126024 116397593152 217852252048 435704504096 503783332861 871409008192 1007566665722 2015133331444 4030266662888 8060533325776 16121066651552 32242133303104