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2057897034000 = 243253114327613
BaseRepresentation
bin11101111100100100001…
…110001100000100010000
321021201210101022220200200
4131330210032030010100
5232204033120042000
64213215043215200
7301451415113403
oct35744416140420
97251711286620
102057897034000
11723827254415
12292a01677500
1311c09c405682
1471861d23d3a
15387e5cce500
hex1df2438c110

2057897034000 has 120 divisors (see below), whose sum is σ = 7187548436952. Its totient is φ = 548772537600.

The previous prime is 2057897033989. The next prime is 2057897034043. The reversal of 2057897034000 is 4307987502.

2057897034000 is a `hidden beast` number, since 2 + 0 + 578 + 9 + 70 + 3 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 287634851856 + 1770262182144 = 536316^2 + 1330512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57145807 + ... + 57181806.

Almost surely, 22057897034000 is an apocalyptic number.

2057897034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057897034000 is an abundant number, since it is smaller than the sum of its proper divisors (5129651402952).

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

2057897034000 is a wasteful number, since it uses less digits than its factorization.

2057897034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114327642 (or 114327623 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2057897034000 in words is "two trillion, fifty-seven billion, eight hundred ninety-seven million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 114327613 228655226 342982839 457310452 571638065 685965678 914620904 1028948517 1143276130 1371931356 1714914195 1829241808 2057897034 2286552260 2743862712 2858190325 3429828390 4115794068 4573104520 5144742585 5487725424 5716380650 6859656780 8231588136 8574570975 9146209040 10289485170 11432761300 13719313560 14290951625 16463176272 17149141950 20578970340 22865522600 25723712925 27438627120 28581903250 34298283900 41157940680 42872854875 45731045200 51447425850 57163806500 68596567800 82315881360 85745709750 102894851700 114327613000 128618564625 137193135600 171491419500 205789703400 228655226000 257237129250 342982839000 411579406800 514474258500 685965678000 1028948517000 2057897034000