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56077876206016 = 2672151118423681
BaseRepresentation
bin11001100000000101001011…
…11001000001100111000000
321100112222210121111222101121
430300002211321001213000
524322234442302043031
6315133453133442024
714545331022646600
oct1460024571014700
9240488717458347
1056077876206016
1116960548197785
126358327340314
13253a175bb8742
14dbc280090c00
15673aaa8ee011
hex3300a5e419c0

56077876206016 has 84 divisors (see below), whose sum is σ = 130304893167696. Its totient is φ = 23874213888000.

The previous prime is 56077876205993. The next prime is 56077876206127. The reversal of 56077876206016 is 61060267877065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58738305 + ... + 59685376.

Almost surely, 256077876206016 is an apocalyptic number.

56077876206016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56077876206016 is an abundant number, since it is smaller than the sum of its proper divisors (74227016961680).

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

56077876206016 is a wasteful number, since it uses less digits than its factorization.

56077876206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118423858 (or 118423841 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 61.

The spelling of 56077876206016 in words is "fifty-six trillion, seventy-seven billion, eight hundred seventy-six million, two hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 151 196 224 302 392 448 604 784 1057 1208 1568 2114 2416 3136 4228 4832 7399 8456 9664 14798 16912 29596 33824 59192 67648 118384 236768 473536 118423681 236847362 473694724 828965767 947389448 1657931534 1894778896 3315863068 3789557792 5802760369 6631726136 7579115584 11605520738 13263452272 17881975831 23211041476 26526904544 35763951662 46422082952 53053809088 71527903324 92844165904 125173830817 143055806648 185688331808 250347661634 286111613296 371376663616 500695323268 572223226592 876216815719 1001390646536 1144446453184 1752433631438 2002781293072 3504867262876 4005562586144 7009734525752 8011125172288 14019469051504 28038938103008 56077876206016