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50601856160256 = 29365966175629
BaseRepresentation
bin10111000000101101010011…
…01010010101001000000000
320122011111020100201000211020
423200112221222111020000
523113030100134112011
6255342101035345440
713441602111366102
oct1340265152251000
9218144210630736
1050601856160256
111513a143684325
125812b8b2b2280
132230971aa485b
14c6d2001c3572
155cb40c92b006
hex2e05a9a95200

50601856160256 has 160 divisors (see below), whose sum is σ = 135217110283200. Its totient is φ = 16815988654080.

The previous prime is 50601856160221. The next prime is 50601856160267. The reversal of 50601856160256 is 65206165810605.

It is a super-4 number, since 4×506018561602564 (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 50601856160199 and 50601856160208.

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 15 ways as a sum of consecutive naturals, for example, 669042250 + ... + 669117878.

It is an arithmetic number, because the mean of its divisors is an integer number (845106939270).

Almost surely, 250601856160256 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 50601856160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67608555141600).

50601856160256 is an abundant number, since it is smaller than the sum of its proper divisors (84615254122944).

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

50601856160256 is an equidigital number, since it uses as much as digits as its factorization.

50601856160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76970 (or 76954 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 50601856160256 in words is "fifty trillion, six hundred one billion, eight hundred fifty-six million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 661 768 1318 1322 1536 1977 1983 2636 2644 3954 3966 5272 5288 7908 7932 10544 10576 15816 15864 21088 21152 31632 31728 42176 42304 63264 63456 75629 84352 84608 126528 126912 151258 168704 169216 226887 253056 253824 302516 337408 338432 435599 453774 506112 507648 605032 871198 907548 1012224 1015296 1210064 1306797 1742396 1815096 2420128 2613594 3484792 3630192 4840256 5227188 6969584 7260384 9680512 10454376 13939168 14520768 19361024 20908752 27878336 29041536 38722048 41817504 49839511 49990769 55756672 58083072 83635008 99679022 99981538 111513344 116166144 149518533 149972307 167270016 199358044 199963076 223026688 299037066 299944614 334540032 398716088 399926152 598074132 599889228 669080064 797432176 799852304 1196148264 1199778456 1594864352 1599704608 2392296528 2399556912 3189728704 3199409216 4784593056 4799113824 6379457408 6398818432 9569186112 9598227648 12758914816 12797636864 19138372224 19196455296 25517829632 25595273728 32943916771 38276744448 38392910592 65887833542 76553488896 76785821184 98831750313 131775667084 197663500626 263551334168 395327001252 527102668336 790654002504 1054205336672 1581308005008 2108410673344 3162616010016 4216821346688 6325232020032 8433642693376 12650464040064 16867285386752 25300928080128 50601856160256