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55051802766 = 23423671032141
BaseRepresentation
bin110011010001010101…
…111101100010001110
312021002122200100020000
4303101111331202032
51400221230142031
641142423105130
73656143413462
oct632125754216
9167078610200
1055051802766
1121390342264
12a8048a21a6
13526456842c
1429436384a2
1516731303e6
hexcd157d88e

55051802766 has 160 divisors (see below), whose sum is σ = 131971327488. Its totient is φ = 17114898240.

The previous prime is 55051802747. The next prime is 55051802843. The reversal of 55051802766 is 66720815055.

55051802766 is a `hidden beast` number, since 5 + 50 + 518 + 0 + 27 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25712056 + ... + 25714196.

Almost surely, 255051802766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55051802766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65985663744).

55051802766 is an abundant number, since it is smaller than the sum of its proper divisors (76919524722).

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

55051802766 is a wasteful number, since it uses less digits than its factorization.

55051802766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55051802766 in words is "fifty-five billion, fifty-one million, eight hundred two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 67 69 81 103 134 138 162 201 206 207 309 402 414 603 618 621 927 1206 1242 1541 1809 1854 1863 2141 2369 2781 3082 3618 3726 4282 4623 4738 5427 5562 6423 6901 7107 8343 9246 10854 12846 13802 13869 14214 16686 19269 20703 21321 27738 38538 41406 41607 42642 49243 57807 62109 63963 83214 98486 115614 124218 124821 127926 143447 147729 158723 173421 186327 191889 220523 249642 286894 295458 317446 346842 372654 383778 430341 441046 443187 476169 558981 661569 860682 886374 952338 1117962 1291023 1323138 1329561 1428507 1984707 2582046 2659122 2857014 3299281 3873069 3969414 3988683 4285521 5072029 5954121 6598562 7746138 7977366 8571042 9897843 10144058 11619207 11908242 12856563 14775041 15216087 17862363 19795686 23238414 25713126 29550082 29693529 30432174 35724726 44325123 45648261 59387058 88650246 89080587 91296522 132975369 136944783 178161174 265950738 267241761 273889566 339825943 398926107 410834349 534483522 679651886 797852214 821668698 1019477829 1196778321 2038955658 2393556642 3058433487 6116866974 9175300461 18350600922 27525901383 55051802766