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5605010110056 = 2337791971721419
BaseRepresentation
bin101000110010000010010…
…1000101111011001101000
3201211211111210101010212010
41101210010220233121220
51213313030042010211
615530523414515520
71115643242563050
oct121440450573150
921754453333763
105605010110056
1118710870a2985
12766356665ba0
1331871c9b0026
141553d91a0560
159abec3414a6
hex51904a2f668

5605010110056 has 128 divisors (see below), whose sum is σ = 16218607104000. Its totient is φ = 1581006166272.

The previous prime is 5605010110013. The next prime is 5605010110087. The reversal of 5605010110056 is 6500110105065.

It is a super-2 number, since 2×56050101100562 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261673315 + ... + 261694733.

It is an arithmetic number, because the mean of its divisors is an integer number (126707868000).

Almost surely, 25605010110056 is an apocalyptic number.

5605010110056 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 5605010110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109303552000).

5605010110056 is an abundant number, since it is smaller than the sum of its proper divisors (10613596993944).

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

5605010110056 is a wasteful number, since it uses less digits than its factorization.

5605010110056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41231 (or 41227 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 5605010110056 in words is "five trillion, six hundred five billion, ten million, one hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 13272 19717 21419 39434 42838 59151 64257 78868 85676 118302 128514 138019 149933 157736 171352 236604 257028 276038 299866 414057 449799 473208 514056 552076 599732 828114 899598 1104152 1199464 1557643 1656228 1692101 1799196 3115286 3312456 3384202 3598392 4672929 5076303 6230572 6768404 9345858 10152606 10903501 11844707 12461144 13536808 18691716 20305212 21807002 23689414 32710503 35534121 37383432 40610424 43614004 47378828 65421006 71068242 87228008 94757656 130842012 142136484 261684024 284272968 422318423 844636846 1266955269 1689273692 2533910538 2956228961 3378547384 5067821076 5912457922 8868686883 10135642152 11824915844 17737373766 23649831688 33363155417 35474747532 66726310834 70949495064 100089466251 133452621668 200178932502 233542087919 266905243336 400357865004 467084175838 700626263757 800715730008 934168351676 1401252527514 1868336703352 2802505055028 5605010110056