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34232205216 = 2531154759263
BaseRepresentation
bin11111111000011001…
…011111111110100000
310021100200221012111110
4133320121133332200
51030101421031331
623420454543320
72321206641366
oct377031377640
9107320835443
1034232205216
11135772074a0
126774367b40
1332c7138741
14192a565636
15d5546a946
hex7f865ffa0

34232205216 has 96 divisors (see below), whose sum is σ = 98209456128. Its totient is φ = 10354256640.

The previous prime is 34232205211. The next prime is 34232205229. The reversal of 34232205216 is 61250223243.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34232205211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548001 + ... + 607263.

It is an arithmetic number, because the mean of its divisors is an integer number (1023015168).

Almost surely, 234232205216 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 34232205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104728064).

34232205216 is an abundant number, since it is smaller than the sum of its proper divisors (63977250912).

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

34232205216 is a wasteful number, since it uses less digits than its factorization.

34232205216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59834 (or 59826 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34232205216 its reverse (61250223243), we get a palindrome (95482428459).

The spelling of 34232205216 in words is "thirty-four billion, two hundred thirty-two million, two hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 547 1056 1094 1641 2188 3282 4376 6017 6564 8752 12034 13128 17504 18051 24068 26256 36102 48136 52512 59263 72204 96272 118526 144408 177789 192544 237052 288816 355578 474104 577632 651893 711156 948208 1303786 1422312 1896416 1955679 2607572 2844624 3911358 5215144 5689248 7822716 10430288 15645432 20860576 31290864 32416861 62581728 64833722 97250583 129667444 194501166 259334888 356585471 389002332 518669776 713170942 778004664 1037339552 1069756413 1426341884 1556009328 2139512826 2852683768 3112018656 4279025652 5705367536 8558051304 11410735072 17116102608 34232205216