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556010005056 = 263111361193433
BaseRepresentation
bin10000001011101001100…
…01110110001001000000
31222011011021220202220020
420011310301312021000
533102202030130211
61103232200013440
755112306030622
oct10056461661100
91864137822806
10556010005056
111a4891175280
128b912761280
134057c07a4bc
141cca7c08c12
15e6e2e3a306
hex8174c76240

556010005056 has 112 divisors (see below), whose sum is σ = 1606034530368. Its totient is φ = 168363212800.

The previous prime is 556010005051. The next prime is 556010005121. The reversal of 556010005056 is 650500010655.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (556010005051) 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, 2777716 + ... + 2971148.

Almost surely, 2556010005056 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 556010005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803017265184).

556010005056 is an abundant number, since it is smaller than the sum of its proper divisors (1050024525312).

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

556010005056 is a wasteful number, since it uses less digits than its factorization.

556010005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194820 (or 194810 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 556010005056 in words is "five hundred fifty-six billion, ten million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1361 2112 2722 4083 5444 8166 10888 14971 16332 21776 29942 32664 43552 44913 59884 65328 87104 89826 119768 130656 179652 193433 239536 261312 359304 386866 479072 580299 718608 773732 958144 1160598 1437216 1547464 2127763 2321196 2874432 3094928 4255526 4642392 6189856 6383289 8511052 9284784 12379712 12766578 17022104 18569568 25533156 34044208 37139136 51066312 68088416 102132624 136176832 204265248 263262313 408530496 526524626 789786939 1053049252 1579573878 2106098504 2895885443 3159147756 4212197008 5791770886 6318295512 8424394016 8687656329 11583541772 12636591024 16848788032 17375312658 23167083544 25273182048 34750625316 46334167088 50546364096 69501250632 92668334176 139002501264 185336668352 278005002528 556010005056