Search a number
-
+
5005052525056 = 29711491635669
BaseRepresentation
bin100100011010101010001…
…1000001011101000000000
3122201110220201022222210211
41020311110120023220000
51124000321421300211
614351142301403504
71024413603341653
oct110652430135000
918643821288724
105005052525056
11165a6a373a401
1268a019b69594
132a3c88a8366c
141343627db89a
158a2d60a0e21
hex48d5460ba00

5005052525056 has 160 divisors (see below), whose sum is σ = 10273686192000. Its totient is φ = 2435255746560.

The previous prime is 5005052525051. The next prime is 5005052525087. The reversal of 5005052525056 is 6505252505005.

It is not an unprimeable number, because it can be changed into a prime (5005052525051) 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, 882878190 + ... + 882883858.

It is an arithmetic number, because the mean of its divisors is an integer number (64210538700).

Almost surely, 25005052525056 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 5005052525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136843096000).

5005052525056 is an abundant number, since it is smaller than the sum of its proper divisors (5268633666944).

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

5005052525056 is a wasteful number, since it uses less digits than its factorization.

5005052525056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 40.

The spelling of 5005052525056 in words is "five trillion, five billion, fifty-two million, five hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 149 163 256 284 298 326 512 568 596 652 1136 1192 1304 2272 2384 2608 4544 4768 5216 5669 9088 9536 10432 10579 11338 11573 18176 19072 20864 21158 22676 23146 24287 36352 38144 41728 42316 45352 46292 48574 76288 83456 84632 90704 92584 97148 169264 181408 185168 194296 338528 362816 370336 388592 402499 677056 725632 740672 777184 804998 844681 924047 1354112 1451264 1481344 1554368 1609996 1689362 1724377 1848094 2708224 2902528 2962688 3108736 3219992 3378724 3448754 3696188 5416448 5925376 6217472 6439984 6757448 6897508 7392376 12434944 12879968 13514896 13795016 14784752 25759936 27029792 27590032 29569504 51519872 54059584 55180064 59139008 59972351 65607337 103039744 108119168 110360128 118278016 119944702 131214674 137683003 206079488 216238336 220720256 236556032 239889404 262429348 275366006 432476672 441440512 473112064 479778808 524858696 550732012 882881024 959557616 1049717392 1101464024 1919115232 2099434784 2202928048 3838230464 4198869568 4405856096 7676460928 8397739136 8811712192 9775493213 15352921856 16795478272 17623424384 19550986426 30705843712 33590956544 35246848768 39101972852 70493697536 78203945704 156407891408 312815782816 625631565632 1251263131264 2502526262528 5005052525056