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82145457702 = 232711568310429
BaseRepresentation
bin100110010000001000…
…0000011011000100110
321212000212011121200100
41030200100003120212
52321213214121302
6101423114124530
75635432604220
oct1144020033046
9255025147610
1082145457702
1131923a73220
1213b06420746
13799177a709
143d93a99410
15220ba14d1c
hex1320403626

82145457702 has 96 divisors (see below), whose sum is σ = 221959745280. Its totient is φ = 21330682560.

The previous prime is 82145457677. The next prime is 82145457703. The reversal of 82145457702 is 20775454128.

82145457702 is a `hidden beast` number, since 8 + 21 + 4 + 54 + 577 + 0 + 2 = 666.

It is a super-2 number, since 2×821454577022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82145457703) 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, 7871424 + ... + 7881852.

It is an arithmetic number, because the mean of its divisors is an integer number (2312080680).

Almost surely, 282145457702 is an apocalyptic number.

82145457702 is an abundant number, since it is smaller than the sum of its proper divisors (139814287578).

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

82145457702 is a wasteful number, since it uses less digits than its factorization.

82145457702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 16135 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 82145457702 in words is "eighty-two billion, one hundred forty-five million, four hundred fifty-seven thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 5683 10429 11366 17049 20858 31287 34098 39781 51147 62513 62574 73003 79562 93861 102294 114719 119343 125026 146006 187539 187722 219009 229438 238686 344157 358029 375078 437591 438018 562617 657027 688314 716058 803033 875182 1032471 1125234 1312773 1314054 1606066 2064942 2409099 2625546 3938319 4818198 7227297 7876638 14454594 59268007 118536014 177804021 355608042 414876049 533412063 651948077 829752098 1066824126 1244628147 1303896154 1955844231 2489256294 3733884441 3911688462 4563636539 5867532693 7467768882 9127273078 11735065386 13690909617 27381819234 41072728851 82145457702