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37412000405 = 513941611657
BaseRepresentation
bin100010110101111011…
…011101001010010101
310120120022021112110122
4202311323131022111
51103104433003110
625104205001325
72463050520323
oct426573351225
9116508245418
1037412000405
111495910a6aa
127301253245
1336b2b51860
141b4c9b0d13
15e8e6c7255
hex8b5edd295

37412000405 has 16 divisors (see below), whose sum is σ = 48399274224. Its totient is φ = 27597918720.

The previous prime is 37412000387. The next prime is 37412000443. The reversal of 37412000405 is 50400021473.

It can be written as a sum of positive squares in 8 ways, for example, as 796029796 + 36615970609 = 28214^2 + 191353^2 .

It is not a de Polignac number, because 37412000405 - 28 = 37412000149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244664 + ... + 366993.

It is an arithmetic number, because the mean of its divisors is an integer number (3024954639).

Almost surely, 237412000405 is an apocalyptic number.

It is an amenable number.

37412000405 is a deficient number, since it is larger than the sum of its proper divisors (10987273819).

37412000405 is a wasteful number, since it uses less digits than its factorization.

37412000405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612616.

The product of its (nonzero) digits is 3360, while the sum is 26.

Adding to 37412000405 its reverse (50400021473), we get a palindrome (87812021878).

The spelling of 37412000405 in words is "thirty-seven billion, four hundred twelve million, four hundred five", and thus it is an aban number.

Divisors: 1 5 13 65 941 4705 12233 61165 611657 3058285 7951541 39757705 575569237 2877846185 7482400081 37412000405