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2063115457040 = 2451113271766729
BaseRepresentation
bin11110000001011011010…
…000111001001000010000
321022020021001201021100002
4132001123100321020100
5232300230024111130
64215440540145132
7302024632015631
oct36013320711020
97266231637302
102063115457040
11725a64987930
12293a192381a8
1311c72159bc61
1471bd9001888
15389edecdb45
hex1e05b439210

2063115457040 has 80 divisors (see below), whose sum is σ = 5236757326080. Its totient is φ = 749658024960.

The previous prime is 2063115457031. The next prime is 2063115457063. The reversal of 2063115457040 is 407545113602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2063115456985 and 2063115457003.

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, 284396 + ... + 2051124.

It is an arithmetic number, because the mean of its divisors is an integer number (65459466576).

Almost surely, 22063115457040 is an apocalyptic number.

2063115457040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2063115457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618378663040).

2063115457040 is an abundant number, since it is smaller than the sum of its proper divisors (3173641869040).

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

2063115457040 is a wasteful number, since it uses less digits than its factorization.

2063115457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768080 (or 1768074 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 2063115457040 in words is "two trillion, sixty-three billion, one hundred fifteen million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1327 2654 5308 6635 10616 13270 14597 21232 26540 29194 53080 58388 72985 106160 116776 145970 233552 291940 583880 1167760 1766729 3533458 7066916 8833645 14133832 17667290 19434019 28267664 35334580 38868038 70669160 77736076 97170095 141338320 155472152 194340190 310944304 388680380 777360760 1554721520 2344449383 4688898766 9377797532 11722246915 18755595064 23444493830 25788943213 37511190128 46888987660 51577886426 93777975320 103155772852 128944716065 187555950640 206311545704 257889432130 412623091408 515778864260 1031557728520 2063115457040