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5415420005120 = 285191187111839
BaseRepresentation
bin100111011001110000000…
…1011111000101100000000
3201011201010221010220210202
41032303200023320230000
51202211240010130440
615303450512544332
71066152104354246
oct116634013705400
921151127126722
105415420005120
1117a873745aa44
127356652520a8
13303897275798
1414a171860796
1595d02c45615
hex4ece02f8b00

5415420005120 has 144 divisors (see below), whose sum is σ = 13047608770560. Its totient is φ = 2153493196800.

The previous prime is 5415420005087. The next prime is 5415420005147. The reversal of 5415420005120 is 215000245145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457416161 + ... + 457427999.

It is an arithmetic number, because the mean of its divisors is an integer number (90608394240).

Almost surely, 25415420005120 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 5415420005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523804385280).

5415420005120 is an abundant number, since it is smaller than the sum of its proper divisors (7632188765440).

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

5415420005120 is a wasteful number, since it uses less digits than its factorization.

5415420005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13922 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 5415420005120 in words is "five trillion, four hundred fifteen billion, four hundred twenty million, five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 256 320 382 640 764 955 1280 1528 1871 1910 3056 3742 3820 6112 7484 7640 9355 11839 12224 14968 15280 18710 23678 24448 29936 30560 37420 47356 48896 59195 59872 61120 74840 94712 118390 119744 122240 149680 189424 236780 239488 244480 299360 357361 378848 473560 478976 598720 714722 757696 947120 1197440 1429444 1515392 1786805 1894240 2261249 2394880 2858888 3030784 3573610 3788480 4522498 5717776 7147220 7576960 9044996 11306245 11435552 14294440 15153920 18089992 22150769 22612490 22871104 28588880 36179984 44301538 45224980 45742208 57177760 72359968 88603076 90449960 91484416 110753845 114355520 144719936 177206152 180899920 221507690 228711040 289439872 354412304 361799840 443015380 457422080 578879744 708824608 723599680 886030760 1417649216 1447199360 1772061520 2835298432 2894398720 3544123040 4230796879 5670596864 7088246080 8461593758 14176492160 16923187516 21153984395 28352984320 33846375032 42307968790 67692750064 84615937580 135385500128 169231875160 270771000256 338463750320 541542000512 676927500640 1083084001024 1353855001280 2707710002560 5415420005120