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3672661725 = 325217960173
BaseRepresentation
bin1101101011101000…
…0101111011011101
3100110221202112202100
43122322011323131
530010200133400
61404233515313
7160004052405
oct33272057335
910427675670
103672661725
111615138127
12865b72b39
13466b71325
1426baa5805
15167666100
hexdae85edd

3672661725 has 36 divisors (see below), whose sum is σ = 6965102196. Its totient is φ = 1843530240.

The previous prime is 3672661711. The next prime is 3672661747. The reversal of 3672661725 is 5271662763.

3672661725 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 6 + 617 + 25 = 666.

3672661725 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 164942649 + 3507719076 = 12843^2 + 59226^2 .

It is not a de Polignac number, because 3672661725 - 25 = 3672661693 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 476262 + ... + 483911.

It is an arithmetic number, because the mean of its divisors is an integer number (193475061).

Almost surely, 23672661725 is an apocalyptic number.

It is an amenable number.

3672661725 is a deficient number, since it is larger than the sum of its proper divisors (3292440471).

3672661725 is a wasteful number, since it uses less digits than its factorization.

3672661725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960206 (or 960198 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3672661725 is about 60602.4894290655. The cubic root of 3672661725 is about 1542.8616221027.

The spelling of 3672661725 in words is "three billion, six hundred seventy-two million, six hundred sixty-one thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 960173 2880519 4800865 8641557 14402595 16322941 24004325 43207785 48968823 72012975 81614705 146906469 216038925 244844115 408073525 734532345 1224220575 3672661725