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82639190334132 = 22334794993201299
BaseRepresentation
bin10010110010100011101111…
…100101011001101010110100
3101211121020012021002011211000
4102302203233211121222310
541312430030211143012
6451431530412443300
723256325113612345
oct2262435745315264
9354536167064730
1082639190334132
11243710a15a9613
129328041779530
133715ac444a9c3
141659a885320cc
1598497d134ddc
hex4b28ef959ab4

82639190334132 has 96 divisors (see below), whose sum is σ = 215127360000000. Its totient is φ = 27433792120032.

The previous prime is 82639190334079. The next prime is 82639190334137. The reversal of 82639190334132 is 23143309193628.

82639190334132 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 9 + 190 + 33 + 413 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82639190334137) 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, 24213619 + ... + 27414917.

It is an arithmetic number, because the mean of its divisors is an integer number (2240910000000).

Almost surely, 282639190334132 is an apocalyptic number.

It is an amenable number.

82639190334132 is an abundant number, since it is smaller than the sum of its proper divisors (132488169665868).

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

82639190334132 is a wasteful number, since it uses less digits than its factorization.

82639190334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202290 (or 3202282 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 82639190334132 in words is "eighty-two trillion, six hundred thirty-nine billion, one hundred ninety million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 479 499 958 998 1437 1497 1916 1996 2874 2994 4311 4491 5748 5988 8622 8982 12933 13473 17244 17964 25866 26946 51732 53892 239021 478042 717063 956084 1434126 2151189 2868252 3201299 4302378 6402598 6453567 8604756 9603897 12805196 12907134 19207794 25814268 28811691 38415588 57623382 86435073 115246764 172870146 345740292 1533422221 1597448201 3066844442 3194896402 4600266663 4792344603 6133688884 6389792804 9200533326 9584689206 13800799989 14377033809 18401066652 19169378412 27601599978 28754067618 41402399967 43131101427 55203199956 57508135236 82804799934 86262202854 165609599868 172524405708 765177688279 1530355376558 2295533064837 3060710753116 4591066129674 6886599194511 9182132259348 13773198389022 20659797583533 27546396778044 41319595167066 82639190334132