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2042233851952 = 247171956452727
BaseRepresentation
bin11101101101111110100…
…111111001000000110000
321020020100210021211021001
4131231332213321000300
5231424443331230302
64202104515011344
7300355313215540
oct35557647710060
97206323254231
102042233851952
1171811984a968
1228b96bb99b54
1311a77436b608
1470bb79cb320
15381cab6b787
hex1db7e9f9030

2042233851952 has 80 divisors (see below), whose sum is σ = 5040099555840. Its totient is φ = 780402484224.

The previous prime is 2042233851949. The next prime is 2042233851953. The reversal of 2042233851952 is 2591583322402.

It is not an unprimeable number, because it can be changed into a prime (2042233851953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28190188 + ... + 28262539.

It is an arithmetic number, because the mean of its divisors is an integer number (63001244448).

Almost surely, 22042233851952 is an apocalyptic number.

It is an amenable number.

2042233851952 is an abundant number, since it is smaller than the sum of its proper divisors (2997865703888).

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

2042233851952 is a wasteful number, since it uses less digits than its factorization.

2042233851952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56452778 (or 56452772 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 2042233851952 in words is "two trillion, forty-two billion, two hundred thirty-three million, eight hundred fifty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 9044 18088 36176 56452727 112905454 225810908 395169089 451621816 790338178 903243632 959696359 1072601813 1580676356 1919392718 2145203626 3161352712 3838785436 4290407252 6322705424 6717874513 7508212691 7677570872 8580814504 13435749026 15016425382 15355141744 17161629008 18234230821 26871498052 30032850764 36468461642 53742996104 60065701528 72936923284 107485992208 120131403056 127639615747 145873846568 255279231494 291747693136 510558462988 1021116925976 2042233851952