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32381202532668 = 22311719293719161
BaseRepresentation
bin1110101110011010101100…
…00100110000100100111100
311020122121112200100200220020
413113031112010300210330
513221013200322021133
6152511415153252140
76551315246065443
oct727152604604474
9136577480320806
1032381202532668
11a354877720870
12376b83b264050
13150b6c3b07202
147dd389705d5a
153b24992c00b3
hex1d735613093c

32381202532668 has 96 divisors (see below), whose sum is σ = 83675789406720. Its totient is φ = 9663865344000.

The previous prime is 32381202532667. The next prime is 32381202532681. The reversal of 32381202532668 is 86623520218323.

It is a self number, because there is not a number n which added to its sum of digits gives 32381202532668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32381202532661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6847008 + ... + 10566168.

It is an arithmetic number, because the mean of its divisors is an integer number (871622806320).

Almost surely, 232381202532668 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 32381202532668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41837894703360).

32381202532668 is an abundant number, since it is smaller than the sum of its proper divisors (51294586874052).

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

32381202532668 is a wasteful number, since it uses less digits than its factorization.

32381202532668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720179 (or 3720177 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 32381202532668 in words is "thirty-two trillion, three hundred eighty-one billion, two hundred two million, five hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 929 1562 1858 2343 2787 3124 3716 4686 5574 9372 10219 11148 20438 30657 40876 61314 65959 122628 131918 197877 263836 395754 725549 791508 1451098 2176647 2902196 3719161 4353294 7438322 8706588 11157483 14876644 22314966 40910771 44629932 81821542 122732313 163643084 245464626 264060431 490929252 528120862 792181293 1056241724 1584362586 2904664741 3168725172 3455100569 5809329482 6910201138 8713994223 10365301707 11618658964 13820402276 17427988446 20730603414 34855976892 38006106259 41461206828 76012212518 114018318777 152024425036 228036637554 245312140399 456073275108 490624280798 735936421197 981248561596 1471872842394 2698433544389 2943745684788 5396867088778 8095300633167 10793734177556 16190601266334 32381202532668