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2057115705660 = 223355820765447
BaseRepresentation
bin11101111011110101101…
…001101010000100111100
321021122202221010022201000
4131323311221222010330
5232200433110040120
64213005332450300
7301423146664251
oct35736551520474
97248687108630
102057115705660
11723466206914
12292823a79990
1311bca658c402
14717ca259428
153879c3e4990
hex1def5a6a13c

2057115705660 has 96 divisors (see below), whose sum is σ = 6400123269120. Its totient is φ = 548546382144.

The previous prime is 2057115705649. The next prime is 2057115705679. The reversal of 2057115705660 is 665075117502.

2057115705660 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 1 + 15 + 70 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 31399057 + ... + 31464503.

It is an arithmetic number, because the mean of its divisors is an integer number (66667950720).

Almost surely, 22057115705660 is an apocalyptic number.

2057115705660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057115705660 is an abundant number, since it is smaller than the sum of its proper divisors (4343007563460).

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

2057115705660 is a wasteful number, since it uses less digits than its factorization.

2057115705660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123672 (or 123664 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 2057115705660 in words is "two trillion, fifty-seven billion, one hundred fifteen million, seven hundred five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 58207 65447 116414 130894 174621 196341 232828 261788 291035 327235 349242 392682 523863 582070 589023 654470 698484 785364 873105 981705 1047726 1164140 1178046 1308940 1571589 1746210 1767069 1963410 2095452 2356092 2619315 2945115 3143178 3492420 3534138 3926820 5238630 5890230 6286356 7068276 7857945 8835345 10477260 11780460 15715890 17670690 31431780 35341380 3809473529 7618947058 11428420587 15237894116 19047367645 22856841174 34285261761 38094735290 45713682348 57142102935 68570523522 76189470580 102855785283 114284205870 137141047044 171426308805 205711570566 228568411740 342852617610 411423141132 514278926415 685705235220 1028557852830 2057115705660