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42428648016 = 2433563917417
BaseRepresentation
bin100111100000111100…
…011100101001010000
311001111220222122021000
4213200330130221100
51143343213214031
631254053102000
73031264362156
oct474074345120
9131456878230
1042428648016
1116aa2958267
128281327900
13400228b9b1
1420a6d673d6
151184d1b3e6
hex9e0f1ca50

42428648016 has 80 divisors (see below), whose sum is σ = 121814524800. Its totient is φ = 14139562752.

The previous prime is 42428648011. The next prime is 42428648033. The reversal of 42428648016 is 61084682424.

42428648016 is a `hidden beast` number, since 42 + 42 + 86 + 480 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42428648011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427340 + ... + 2444756.

It is an arithmetic number, because the mean of its divisors is an integer number (1522681560).

Almost surely, 242428648016 is an apocalyptic number.

It is an amenable number.

42428648016 is an abundant number, since it is smaller than the sum of its proper divisors (79385876784).

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

42428648016 is a wasteful number, since it uses less digits than its factorization.

42428648016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23073 (or 23061 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 42428648016 in words is "forty-two billion, four hundred twenty-eight million, six hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5639 11278 16917 17417 22556 33834 34834 45112 50751 52251 67668 69668 90224 101502 104502 135336 139336 152253 156753 203004 209004 270672 278672 304506 313506 406008 418008 470259 609012 627012 812016 836016 940518 1218024 1254024 1881036 2436048 2508048 3762072 7524144 98214463 196428926 294643389 392857852 589286778 785715704 883930167 1178573556 1571431408 1767860334 2357147112 2651790501 3535720668 4714294224 5303581002 7071441336 10607162004 14142882672 21214324008 42428648016