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2072575822140 = 2232594433121931
BaseRepresentation
bin11110001010001111001…
…001010100100100111100
321100010200101001121112200
4132022033021110210330
5232424113402302030
64224043404431500
7302511234546165
oct36121711244474
97303611047480
102072575822140
11729a7a02418a
12295819548590
1312059b537a25
147245561276c
1538da47e4d60
hex1e28f25493c

2072575822140 has 72 divisors (see below), whose sum is σ = 6286931462448. Its totient is φ = 552676500480.

The previous prime is 2072575822111. The next prime is 2072575822147. The reversal of 2072575822140 is 412285752702.

2072575822140 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 5 + 7 + 582 + 21 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072575822147) 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, 16936975 + ... + 17058905.

It is an arithmetic number, because the mean of its divisors is an integer number (87318492534).

Almost surely, 22072575822140 is an apocalyptic number.

2072575822140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072575822140 is an abundant number, since it is smaller than the sum of its proper divisors (4214355640308).

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

2072575822140 is a wasteful number, since it uses less digits than its factorization.

2072575822140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216379 (or 216374 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 2072575822140 in words is "two trillion, seventy-two billion, five hundred seventy-five million, eight hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 94433 121931 188866 243862 283299 365793 377732 472165 487724 566598 609655 731586 849897 944330 1097379 1133196 1219310 1416495 1463172 1699794 1828965 1888660 2194758 2438620 2832990 3399588 3657930 4249485 4389516 5486895 5665980 7315860 8498970 10973790 16997940 21947580 11514310123 23028620246 34542930369 46057240492 57571550615 69085860738 103628791107 115143101230 138171721476 172714651845 207257582214 230286202460 345429303690 414515164428 518143955535 690858607380 1036287911070 2072575822140