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55758033000 = 2332536195337
BaseRepresentation
bin110011111011011100…
…000001000001101000
312022220212120112222100
4303323130001001220
51403143024024000
641340452053400
74012510313655
oct637334010150
9168825515870
1055758033000
1121712a5750a
12a981304260
135347979547
1429ad354c2c
1516b5133a00
hexcfb701068

55758033000 has 96 divisors (see below), whose sum is σ = 188462181960. Its totient is φ = 14868806400.

The previous prime is 55758032987. The next prime is 55758033007. The reversal of 55758033000 is 33085755.

55758033000 is a `hidden beast` number, since 5 + 575 + 80 + 3 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20256690276 + 35501342724 = 142326^2 + 188418^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55758033007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3088669 + ... + 3106668.

Almost surely, 255758033000 is an apocalyptic number.

55758033000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55758033000 is an abundant number, since it is smaller than the sum of its proper divisors (132704148960).

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

55758033000 is a wasteful number, since it uses less digits than its factorization.

55758033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195364 (or 6195347 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 55758033000 in words is "fifty-five billion, seven hundred fifty-eight million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 6195337 12390674 18586011 24781348 30976685 37172022 49562696 55758033 61953370 74344044 92930055 111516066 123906740 148688088 154883425 185860110 223032132 247813480 278790165 309766850 371720220 446064264 464650275 557580330 619533700 743440440 774417125 929300550 1115160660 1239067400 1393950825 1548834250 1858601100 2230321320 2323251375 2787901650 3097668500 3717202200 4646502750 5575803300 6195337000 6969754125 9293005500 11151606600 13939508250 18586011000 27879016500 55758033000