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37444866149 = 2910117373897
BaseRepresentation
bin100010110111111000…
…110101000001100101
310120122121010021210102
4202313320311001211
51103141341204044
625111341233445
72463630052655
oct426770650145
9116577107712
1037444866149
1114975718179
127310262885
1336b98bb042
141b530c8365
15e9251a24e
hex8b7e35065

37444866149 has 16 divisors (see below), whose sum is σ = 39346251120. Its totient is φ = 35588313600.

The previous prime is 37444866131. The next prime is 37444866187. The reversal of 37444866149 is 94166844473.

37444866149 is digitally balanced in base 2, 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 8 ways, for example, as 13881081124 + 23563785025 = 117818^2 + 153505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37444866149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37444866094 and 37444866103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37444866749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469769 + ... + 543665.

It is an arithmetic number, because the mean of its divisors is an integer number (2459140695).

Almost surely, 237444866149 is an apocalyptic number.

It is an amenable number.

37444866149 is a deficient number, since it is larger than the sum of its proper divisors (1901384971).

37444866149 is a wasteful number, since it uses less digits than its factorization.

37444866149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74200.

The product of its digits is 13934592, while the sum is 56.

The spelling of 37444866149 in words is "thirty-seven billion, four hundred forty-four million, eight hundred sixty-six thousand, one hundred forty-nine".

Divisors: 1 29 101 173 2929 5017 17473 73897 506717 2143013 7463597 12784181 216444313 370741249 1291202281 37444866149