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32672284668 = 2232231271571979
BaseRepresentation
bin11110011011011010…
…110111111111111100
310010022222200000210100
4132123122313333330
51013403101102133
623002012241100
72234435560152
oct363332677774
9103288600710
1032672284668
1112946720061
1263b9a70190
133108bc672a
14181d3053d2
15cb3536e13
hex79b6b7ffc

32672284668 has 144 divisors (see below), whose sum is σ = 87455047680. Its totient is φ = 10264205952.

The previous prime is 32672284663. The next prime is 32672284693. The reversal of 32672284668 is 86648227623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32672284663) 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, 16508503 + ... + 16510481.

It is an arithmetic number, because the mean of its divisors is an integer number (607326720).

Almost surely, 232672284668 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 32672284668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43727523840).

32672284668 is an abundant number, since it is smaller than the sum of its proper divisors (54782763012).

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

32672284668 is a wasteful number, since it uses less digits than its factorization.

32672284668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2291 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 32672284668 in words is "thirty-two billion, six hundred seventy-two million, two hundred eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 127 138 157 207 254 276 314 381 414 471 508 628 762 828 942 1143 1413 1524 1884 1979 2286 2826 2921 3611 3958 4572 5652 5842 5937 7222 7916 8763 10833 11684 11874 14444 17526 17811 19939 21666 23748 26289 32499 35052 35622 39878 43332 45517 52578 59817 64998 71244 79756 91034 105156 119634 129996 136551 179451 182068 239268 251333 273102 310703 358902 409653 458597 502666 546204 621406 717804 753999 819306 917194 932109 1005332 1242812 1375791 1507998 1638612 1834388 1864218 2261997 2751582 2796327 3015996 3728436 4127373 4523994 5503164 5592654 5780659 7146169 8254746 9047988 11185308 11561318 14292338 16509492 17341977 21438507 23122636 28584676 34683954 39459281 42877014 52025931 64315521 69367908 78918562 85754028 104051862 118377843 128631042 157837124 208103724 236755686 257262084 355133529 473511372 710267058 907563463 1420534116 1815126926 2722690389 3630253852 5445380778 8168071167 10890761556 16336142334 32672284668