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32268456234 = 23272331135803
BaseRepresentation
bin11110000011010110…
…011001000100101010
310002021211210102022200
4132003112121010222
51012041211044414
622453545001030
72221433231610
oct360326310452
9102254712280
1032268456234
111275977a853
126306783176
1330733446b1
1417c18256b0
15c8cd69109
hex78359912a

32268456234 has 96 divisors (see below), whose sum is σ = 83647309824. Its totient is φ = 8790107040.

The previous prime is 32268456217. The next prime is 32268456239. The reversal of 32268456234 is 43265486223.

32268456234 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 84 + 562 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32268456234.

It is not an unprimeable number, because it can be changed into a prime (32268456239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883377 + ... + 919179.

It is an arithmetic number, because the mean of its divisors is an integer number (871326144).

Almost surely, 232268456234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32268456234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41823654912).

32268456234 is an abundant number, since it is smaller than the sum of its proper divisors (51378853590).

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

32268456234 is a wasteful number, since it uses less digits than its factorization.

32268456234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36152 (or 36149 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 32268456234 in words is "thirty-two billion, two hundred sixty-eight million, four hundred fifty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 311 322 414 483 622 933 966 1449 1866 2177 2799 2898 4354 5598 6531 7153 13062 14306 19593 21459 35803 39186 42918 50071 64377 71606 100142 107409 128754 150213 214818 250621 300426 322227 450639 501242 644454 751863 823469 901278 1503726 1646938 2255589 2470407 4511178 4940814 5764283 7411221 11134733 11528566 14822442 17292849 22269466 33404199 34585698 51878547 66808398 77943131 100212597 103757094 155886262 200425194 233829393 256098859 467658786 512197718 701488179 768296577 1402976358 1536593154 1792692013 2304889731 3585384026 4609779462 5378076039 10756152078 16134228117 32268456234