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82353863484 = 2235292921593
BaseRepresentation
bin100110010110010101…
…1000011101100111100
321212120101022201200000
41030230223003230330
52322130042112414
6101455521034300
75643543201234
oct1145453035474
9255511281600
1082353863484
1131a20677602
1213b64185990
1379c59b8a49
143db3628cc4
15221ee7eb09
hex132cac3b3c

82353863484 has 72 divisors (see below), whose sum is σ = 223326645360. Its totient is φ = 26504682624.

The previous prime is 82353863483. The next prime is 82353863491. The reversal of 82353863484 is 48436835328.

82353863484 is a `hidden beast` number, since 8 + 2 + 3 + 538 + 63 + 48 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82353863484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82353863483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432609 + ... + 1488984.

Almost surely, 282353863484 is an apocalyptic number.

It is an amenable number.

82353863484 is an abundant number, since it is smaller than the sum of its proper divisors (140972781876).

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

82353863484 is a wasteful number, since it uses less digits than its factorization.

82353863484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921641 (or 2921627 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 82353863484 in words is "eighty-two billion, three hundred fifty-three million, eight hundred sixty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 28188 2921593 5843186 8764779 11686372 17529558 26294337 35059116 52588674 78883011 84726197 105177348 157766022 169452394 236649033 254178591 315532044 338904788 473298066 508357182 709947099 762535773 946596132 1016714364 1419894198 1525071546 2287607319 2839788396 3050143092 4575214638 6862821957 9150429276 13725643914 20588465871 27451287828 41176931742 82353863484