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5420211311640 = 23351910972167079
BaseRepresentation
bin100111011011111110111…
…0001010001010000011000
3201012011111211211111201210
41032313331301101100120
51202301043043433030
615310002151143120
71066411613656026
oct116677561212030
921164454744653
105420211311640
1117aa775a874a4
12736581974aa0
1330417bac50b8
1414a4a7d19716
1595ed36c6bb0
hex4edfdc51418

5420211311640 has 128 divisors (see below), whose sum is σ = 17132067648000. Its totient is φ = 1368067673088.

The previous prime is 5420211311587. The next prime is 5420211311719. The reversal of 5420211311640 is 461131120245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5420211311598 and 5420211311607.

It is a congruent number.

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, 1417621 + ... + 3584699.

It is an arithmetic number, because the mean of its divisors is an integer number (133844278500).

Almost surely, 25420211311640 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 5420211311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566033824000).

5420211311640 is an abundant number, since it is smaller than the sum of its proper divisors (11711856336360).

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

5420211311640 is a wasteful number, since it uses less digits than its factorization.

5420211311640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168209 (or 2168205 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 5420211311640 its reverse (461131120245), we get a palindrome (5881342431885).

The spelling of 5420211311640 in words is "five trillion, four hundred twenty billion, two hundred eleven million, three hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1097 1140 2194 2280 3291 4388 5485 6582 8776 10970 13164 16455 20843 21940 26328 32910 41686 43880 62529 65820 83372 104215 125058 131640 166744 208430 250116 312645 416860 500232 625290 833720 1250580 2167079 2501160 4334158 6501237 8668316 10835395 13002474 17336632 21670790 26004948 32506185 41174501 43341580 52009896 65012370 82349002 86683160 123523503 130024740 164698004 205872505 247047006 260049480 329396008 411745010 494094012 617617515 823490020 988188024 1235235030 1646980040 2377285663 2470470060 4754571326 4940940120 7131856989 9509142652 11886428315 14263713978 19018285304 23772856630 28527427956 35659284945 45168427597 47545713260 57054855912 71318569890 90336855194 95091426520 135505282791 142637139780 180673710388 225842137985 271010565582 285274279560 361347420776 451684275970 542021131164 677526413955 903368551940 1084042262328 1355052827910 1806737103880 2710105655820 5420211311640