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82352174632 = 237131394791699
BaseRepresentation
bin100110010110010010…
…0100111011000101000
321212120021010220222221
41030230210213120220
52322124124042012
6101455420523424
75643522635410
oct1145444473050
9255507126887
1082352174632
1131a1a723762
1213b636b0574
1379c5547120
143db3309640
15221ec49507
hex132c927628

82352174632 has 128 divisors (see below), whose sum is σ = 191923200000. Its totient is φ = 32257979136.

The previous prime is 82352174629. The next prime is 82352174633. The reversal of 82352174632 is 23647125328.

It is not an unprimeable number, because it can be changed into a prime (82352174633) 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, 48470119 + ... + 48471817.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400000).

Almost surely, 282352174632 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 82352174632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600000).

82352174632 is an abundant number, since it is smaller than the sum of its proper divisors (109571025368).

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

82352174632 is a wasteful number, since it uses less digits than its factorization.

82352174632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2339 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The spelling of 82352174632 in words is "eighty-two billion, three hundred fifty-two million, one hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 479 556 728 958 973 1112 1699 1807 1916 1946 3353 3398 3614 3832 3892 6227 6706 6796 7228 7784 11893 12454 12649 13412 13592 14456 22087 23786 24908 25298 26824 43589 44174 47572 49816 50596 66581 87178 88348 95144 101192 133162 154609 174356 176696 236161 266324 309218 348712 466067 472322 532648 618436 813821 865553 932134 944644 1236872 1627642 1653127 1731106 1864268 1889288 3070093 3255284 3306254 3462212 3728536 5696747 6058871 6140186 6510568 6612508 6924424 10579673 11393494 12117742 12280372 13225016 21159346 21490651 22786988 24235484 24560744 42318692 42981302 45573976 48470968 74057711 84637384 85962604 113121119 148115422 171925208 226242238 296230844 452484476 592461688 791847833 904968952 1470574547 1583695666 2941149094 3167391332 5882298188 6334782664 10294021829 11764596376 20588043658 41176087316 82352174632