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37852426249 = 1122327692
BaseRepresentation
bin100011010000001011…
…100011000000001001
310121201000000111010221
4203100023203000021
51110010210114444
625220020510041
72510006212561
oct432013430011
9117630014127
1037852426249
1115064787100
12740484b321
133753178771
141b91299da1
15eb81c3a84
hex8d02e3009

37852426249 has 27 divisors (see below), whose sum is σ = 43550642919. Its totient is φ = 32872350720.

The previous prime is 37852426247. The next prime is 37852426309. The reversal of 37852426249 is 94262425873.

The square root of 37852426249 is 194557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14809186249 + 23043240000 = 121693^2 + 151800^2 .

It is not a de Polignac number, because 37852426249 - 21 = 37852426247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37852426196 and 37852426205.

It is not an unprimeable number, because it can be changed into a prime (37852426247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49222537 + ... + 49223305.

Almost surely, 237852426249 is an apocalyptic number.

37852426249 is the 194557-th square number.

37852426249 is the 97279-th centered octagonal number.

It is an amenable number.

37852426249 is a deficient number, since it is larger than the sum of its proper divisors (5698216670).

37852426249 is an frugal number, since it uses more digits than its factorization.

37852426249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 803 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 37852426249 in words is "thirty-seven billion, eight hundred fifty-two million, four hundred twenty-six thousand, two hundred forty-nine".

Divisors: 1 11 23 121 253 529 769 2783 5819 8459 17687 64009 93049 194557 406801 591361 2140127 4474811 6504971 13601303 49222921 71554681 149614333 312829969 1645757663 3441129659 37852426249