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2557046402000 = 245312637101173
BaseRepresentation
bin100101001101011011110…
…101111010101111010000
3100001110011221221001012022
4211031123311322233100
5313343312334331000
65234405122351012
7352511664540266
oct45153365725720
910043157831168
102557046402000
118a648a039462
123536a57bb468
131571892535ac
148ba9419c436
15467abdd8585
hex2535bd7abd0

2557046402000 has 80 divisors (see below), whose sum is σ = 6183488590032. Its totient is φ = 1022727513600.

The previous prime is 2557046401981. The next prime is 2557046402021. The reversal of 2557046402000 is 2046407552.

It can be written as a sum of positive squares in 8 ways, for example, as 523730110864 + 2033316291136 = 723692^2 + 1425944^2 .

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

It is a super-2 number, since 2×25570464020002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 25223414 + ... + 25324586.

Almost surely, 22557046402000 is an apocalyptic number.

2557046402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557046402000 is an abundant number, since it is smaller than the sum of its proper divisors (3626442188032).

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

2557046402000 is a wasteful number, since it uses less digits than its factorization.

2557046402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113833 (or 113817 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 2557046402000 in words is "two trillion, five hundred fifty-seven billion, forty-six million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 12637 25274 50548 63185 101096 101173 126370 202192 202346 252740 315925 404692 505480 505865 631850 809384 1010960 1011730 1263700 1579625 1618768 2023460 2527400 2529325 3159250 4046920 5054800 5058650 6318500 8093840 10117300 12637000 12646625 20234600 25274000 25293250 40469200 50586500 101173000 202346000 1278523201 2557046402 5114092804 6392616005 10228185608 12785232010 20456371216 25570464020 31963080025 51140928040 63926160050 102281856080 127852320100 159815400125 255704640200 319630800250 511409280400 639261600500 1278523201000 2557046402000