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42816890472 = 23317375948073
BaseRepresentation
bin100111111000000101…
…011110011001101000
311002111222112101210020
4213320011132121220
51200142110443342
631400402320440
73044020364316
oct477005363150
9132458471706
1042816890472
11171820225a4
12836b359120
134064844765
14210274b0b6
1511a8e5b0ec
hex9f815e668

42816890472 has 128 divisors (see below), whose sum is σ = 118377417600. Its totient is φ = 12847915008.

The previous prime is 42816890449. The next prime is 42816890503. The reversal of 42816890472 is 27409861824.

42816890472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428168904722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 866628 + ... + 914700.

It is an arithmetic number, because the mean of its divisors is an integer number (924823575).

Almost surely, 242816890472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42816890472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59188708800).

42816890472 is an abundant number, since it is smaller than the sum of its proper divisors (75560527128).

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

42816890472 is a wasteful number, since it uses less digits than its factorization.

42816890472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48195 (or 48191 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 42816890472 in words is "forty-two billion, eight hundred sixteen million, eight hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 59 68 74 102 111 118 136 148 177 204 222 236 296 354 408 444 472 629 708 888 1003 1258 1416 1887 2006 2183 2516 3009 3774 4012 4366 5032 6018 6549 7548 8024 8732 12036 13098 15096 17464 24072 26196 37111 48073 52392 74222 96146 111333 144219 148444 192292 222666 288438 296888 384584 445332 576876 817241 890664 1153752 1634482 1778701 2451723 2836307 3268964 3557402 4903446 5336103 5672614 6537928 7114804 8508921 9806892 10672206 11345228 14229608 17017842 19613784 21344412 22690456 30237917 34035684 42688824 48217219 60475834 68071368 90713751 96434438 104943359 120951668 144651657 181427502 192868876 209886718 241903336 289303314 314830077 362855004 385737752 419773436 578606628 629660154 725710008 839546872 1157213256 1259320308 1784037103 2518640616 3568074206 5352111309 7136148412 10704222618 14272296824 21408445236 42816890472