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82425544552428 = 223711127271700907
BaseRepresentation
bin10010101111011100110001…
…010011011010111111101100
3101210211210201220211221220020
4102233130301103122333230
541300430003401134203
6451145434502122140
723235022555463250
oct2257346123327754
9353753656757806
1082425544552428
1124299528085680
1292b2758120350
1336cb907021bac
14164d5bc022260
1597e126beb153
hex4af7314dafec

82425544552428 has 96 divisors (see below), whose sum is σ = 239785628479488. Its totient is φ = 21409033588800.

The previous prime is 82425544552397. The next prime is 82425544552447.

82425544552428 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117247951 + ... + 117948857.

It is an arithmetic number, because the mean of its divisors is an integer number (2497766963328).

Almost surely, 282425544552428 is an apocalyptic number.

It is an amenable number.

82425544552428 is an abundant number, since it is smaller than the sum of its proper divisors (157360083927060).

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

82425544552428 is a wasteful number, since it uses less digits than its factorization.

82425544552428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828203 (or 828201 counting only the distinct ones).

The product of its digits is 163840000, while the sum is 60.

The spelling of 82425544552428 in words is "eighty-two trillion, four hundred twenty-five billion, five hundred forty-four million, five hundred fifty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 127271 254542 381813 509084 700907 763626 890897 1399981 1401814 1527252 1781794 2102721 2672691 2799962 2803628 3563588 4199943 4205442 4906349 5345382 5599924 7709977 8399886 8410884 9799867 9812698 10690764 14719047 15419954 16799772 19599734 19625396 23129931 29399601 29438094 30839908 39199468 46259862 53969839 58799202 58876188 92519724 107939678 117598404 161909517 215879356 323819034 647638068 89205134797 178410269594 267615404391 356820539188 535230808782 624435943579 981256482767 1070461617564 1248871887158 1873307830737 1962512965534 2497743774316 2943769448301 3746615661474 3925025931068 5887538896602 6868795379369 7493231322948 11775077793204 13737590758738 20606386138107 27475181517476 41212772276214 82425544552428