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5005217056620 = 22351121792938453
BaseRepresentation
bin100100011010101111000…
…1011110100011101101100
3122201111100011221001200110
41020311132023310131230
51124001141031302440
614351210500100020
71024420642003554
oct110653613643554
918644304831613
105005217056620
11165a7785a7400
1268a065094610
132a3cb3b9c911
1413437a5ca164
158a2e5751080
hex48d5e2f476c

5005217056620 has 144 divisors (see below), whose sum is σ = 15405746035680. Its totient is φ = 1213286722560.

The previous prime is 5005217056507. The next prime is 5005217056627. The reversal of 5005217056620 is 266507125005.

It is not an unprimeable number, because it can be changed into a prime (5005217056627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130145314 + ... + 130183766.

It is an arithmetic number, because the mean of its divisors is an integer number (106984347470).

Almost surely, 25005217056620 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 5005217056620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702873017840).

5005217056620 is an abundant number, since it is smaller than the sum of its proper divisors (10400528979060).

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

5005217056620 is a wasteful number, since it uses less digits than its factorization.

5005217056620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56416 (or 56403 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 5005217056620 in words is "five trillion, five billion, two hundred seventeen million, fifty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 17929 35858 38453 53787 71716 76906 89645 107574 115359 153812 179290 192265 197219 215148 230718 268935 358580 384530 394438 422983 461436 537870 576795 591657 769060 788876 845966 986095 1075740 1153590 1183314 1268949 1691932 1972190 2114915 2169409 2307180 2366628 2537898 2958285 3944380 4229830 4338818 4652813 5075796 5916570 6344745 6508227 8459660 8677636 9305626 10847045 11833140 12689490 13016454 13958439 18611252 21694090 23264065 25378980 26032908 27916878 32541135 43388180 46528130 55833756 65082270 69792195 93056260 130164540 139584390 279168780 689423837 1378847674 2068271511 2757695348 3447119185 4136543022 6894238370 7583662207 8273086044 10341357555 13788476740 15167324414 20682715110 22750986621 30334648828 37918311035 41365430220 45501973242 75836622070 83420284277 91003946484 113754933105 151673244140 166840568554 227509866210 250260852831 333681137108 417101421385 455019732420 500521705662 834202842770 1001043411324 1251304264155 1668405685540 2502608528310 5005217056620