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50827968768 = 283471578969
BaseRepresentation
bin101111010101100101…
…010100000100000000
311212012021210100020210
4233111211110010000
51313043430000033
635203335434120
73446364414603
oct572545240400
9155167710223
1050827968768
111a613077265
129a26225940
134a40466185
14266269a33a
1514c73e3d63
hexbd5954100

50827968768 has 144 divisors (see below), whose sum is σ = 139050213120. Its totient is φ = 16474718208.

The previous prime is 50827968757. The next prime is 50827968781. The reversal of 50827968768 is 86786972805.

It is a junction number, because it is equal to n+sod(n) for n = 50827968699 and 50827968708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5662588 + ... + 5671556.

It is an arithmetic number, because the mean of its divisors is an integer number (965626480).

Almost surely, 250827968768 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 50827968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69525106560).

50827968768 is an abundant number, since it is smaller than the sum of its proper divisors (88222244352).

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

50827968768 is a wasteful number, since it uses less digits than its factorization.

50827968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 50827968768 in words is "fifty billion, eight hundred twenty-seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 157 188 192 256 282 314 376 384 471 564 628 752 768 942 1128 1256 1504 1884 2256 2512 3008 3768 4512 5024 6016 7379 7536 8969 9024 10048 12032 14758 15072 17938 18048 20096 22137 26907 29516 30144 35876 36096 40192 44274 53814 59032 60288 71752 88548 107628 118064 120576 143504 177096 215256 236128 287008 354192 421543 430512 472256 574016 708384 843086 861024 944512 1148032 1264629 1408133 1416768 1686172 1722048 1889024 2296064 2529258 2816266 2833536 3372344 3444096 4224399 5058516 5632532 5667072 6744688 6888192 8448798 10117032 11265064 13489376 16897596 20234064 22530128 26978752 33795192 40468128 45060256 53957504 66182251 67590384 80936256 90120512 107915008 132364502 135180768 161872512 180241024 198546753 264729004 270361536 323745024 360482048 397093506 529458008 540723072 794187012 1058916016 1081446144 1588374024 2117832032 3176748048 4235664064 6353496096 8471328128 12706992192 16942656256 25413984384 50827968768