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87821978328 = 2333728297617
BaseRepresentation
bin101000111001010011…
…0010000101011011000
322101200110112202002000
41101302212100223120
52414324411301303
6104202253441000
76226211333100
oct1216246205330
9271613482060
1087821978328
1134277243187
121502b4a0160
138387817666
144371942200
152440051da3
hex1472990ad8

87821978328 has 96 divisors (see below), whose sum is σ = 283778535600. Its totient is φ = 25091990784.

The previous prime is 87821978303. The next prime is 87821978329. The reversal of 87821978328 is 82387912878.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87821978329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4138225 + ... + 4159392.

Almost surely, 287821978328 is an apocalyptic number.

It is an amenable number.

87821978328 is an abundant number, since it is smaller than the sum of its proper divisors (195956557272).

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

87821978328 is a wasteful number, since it uses less digits than its factorization.

87821978328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8297646 (or 8297629 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 87821978328 in words is "eighty-seven billion, eight hundred twenty-one million, nine hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 8297617 16595234 24892851 33190468 49785702 58083319 66380936 74678553 99571404 116166638 149357106 174249957 199142808 224035659 232333276 298714212 348499914 406583233 448071318 464666552 522749871 597428424 696999828 813166466 896142636 1045499742 1219749699 1393999656 1568249613 1626332932 1792285272 2090999484 2439499398 3136499226 3252665864 3659249097 4181998968 4878998796 6272998452 7318498194 9757997592 10977747291 12545996904 14636996388 21955494582 29273992776 43910989164 87821978328