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2141376525 = 325217737669
BaseRepresentation
bin111111110100010…
…1101000000001101
312112020101012100200
41333220231000031
513341143022100
6552253044113
7104031254151
oct17750550015
95466335320
102141376525
119a9829972
124b9186639
13281847102
1416457b061
15c7edbe00
hex7fa2d00d

2141376525 has 72 divisors (see below), whose sum is σ = 4117225320. Its totient is φ = 1060024320.

The previous prime is 2141376509. The next prime is 2141376529. The reversal of 2141376525 is 5256731412.

2141376525 is a `hidden beast` number, since 21 + 41 + 3 + 76 + 525 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11923209 + 2129453316 = 3453^2 + 46146^2 .

It is not a de Polignac number, because 2141376525 - 24 = 2141376509 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141376525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141376529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275391 + ... + 283059.

It is an arithmetic number, because the mean of its divisors is an integer number (57183685).

Almost surely, 22141376525 is an apocalyptic number.

2141376525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2141376525 is a deficient number, since it is larger than the sum of its proper divisors (1975848795).

2141376525 is a wasteful number, since it uses less digits than its factorization.

2141376525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7767 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2141376525 is about 46275.0097244722. The cubic root of 2141376525 is about 1288.9349872107.

The spelling of 2141376525 in words is "two billion, one hundred forty-one million, three hundred seventy-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 73 75 85 153 219 225 255 365 425 657 765 1095 1241 1275 1825 3285 3723 3825 5475 6205 7669 11169 16425 18615 23007 31025 38345 55845 69021 93075 115035 130373 191725 279225 345105 391119 559837 575175 651865 1173357 1679511 1725525 1955595 2799185 3259325 5038533 5866785 8397555 9517229 9777975 13995925 25192665 28551687 29333925 41987775 47586145 85655061 125963325 142758435 237930725 428275305 713792175 2141376525