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550055550016 = 26759130315971
BaseRepresentation
bin10000000000100011101…
…11011001110001000000
31221120210022120010011101
420000101313121301000
533003003210100031
61100405251224144
754511614013450
oct10002167316100
91846708503141
10550055550016
111a2306022055
128a7305a8054
133cb4056a11b
141c8a1093d60
15e4952ec361
hex8011dd9c40

550055550016 has 112 divisors (see below), whose sum is σ = 1269643668480. Its totient is φ = 231550179840.

The previous prime is 550055550013. The next prime is 550055550041. The reversal of 550055550016 is 610055550055.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5500555500162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (550055550013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34432911 + ... + 34448881.

Almost surely, 2550055550016 is an apocalyptic number.

550055550016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550055550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634821834240).

550055550016 is an abundant number, since it is smaller than the sum of its proper divisors (719588118464).

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

550055550016 is a wasteful number, since it uses less digits than its factorization.

550055550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 37.

The spelling of 550055550016 in words is "five hundred fifty billion, fifty-five million, five hundred fifty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1303 1652 1888 2606 3304 3776 5212 6608 9121 10424 13216 15971 18242 20848 26432 31942 36484 41696 63884 72968 76877 83392 111797 127768 145936 153754 223594 255536 291872 307508 447188 511072 538139 583744 615016 894376 942289 1022144 1076278 1230032 1788752 1884578 2152556 2460064 3577504 3769156 4305112 4920128 6596023 7155008 7538312 8610224 13192046 15076624 17220448 20810213 26384092 30153248 34440896 41620426 52768184 60306496 83240852 105536368 145671491 166481704 211072736 291342982 332963408 422145472 582685964 665926816 1165371928 1227802567 1331853632 2330743856 2455605134 4661487712 4911210268 8594617969 9322975424 9822420536 17189235938 19644841072 34378471876 39289682144 68756943752 78579364288 137513887504 275027775008 550055550016