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51061060506006 = 232193307379126323
BaseRepresentation
bin10111001110000100101000…
…10111111001000110010110
320200210101112002200210010100
423213002110113321012112
523143041022442143011
6300333043302234530
713520016452051115
oct1347022427710626
9220711462623110
1051061060506006
11152a6968550991
125887b85a25a46
13226506407c235
14c875232c1c7c
155d8336cacd56
hex2e70945f9196

51061060506006 has 96 divisors (see below), whose sum is σ = 111863014623360. Its totient is φ = 16832347886592.

The previous prime is 51061060505993. The next prime is 51061060506017. The reversal of 51061060506006 is 60060506016015.

51061060506006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404147161 + ... + 404273483.

It is an arithmetic number, because the mean of its divisors is an integer number (1165239735660).

Almost surely, 251061060506006 is an apocalyptic number.

51061060506006 is an abundant number, since it is smaller than the sum of its proper divisors (60801954117354).

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

51061060506006 is a wasteful number, since it uses less digits than its factorization.

51061060506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127210 (or 127207 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51061060506006 in words is "fifty-one trillion, sixty-one billion, sixty million, five hundred six thousand, six".

Divisors: 1 2 3 6 9 18 193 307 379 386 579 614 758 921 1137 1158 1737 1842 2274 2763 3411 3474 5526 6822 59251 73147 116353 118502 126323 146294 177753 219441 232706 252646 349059 355506 378969 438882 533259 658323 698118 757938 1047177 1066518 1136907 1316646 2094354 2273814 22456129 24380339 38781161 44912258 47876417 48760678 67368387 73141017 77562322 95752834 116343483 134736774 143629251 146282034 202105161 219423051 232686966 287258502 349030449 404210322 430887753 438846102 698060898 861775506 7484764073 9240148481 14698060019 14969528146 18480296962 22454292219 27720445443 29396120038 44094180057 44908584438 55440890886 67362876657 83161336329 88188360114 132282540171 134725753314 166322672658 264565080342 2836725583667 5673451167334 8510176751001 17020353502002 25530530253003 51061060506006