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37974016717 = 741311032
BaseRepresentation
bin100011010111011011…
…011000001011001101
310122000110210220220121
4203113123120023031
51110232322013332
625240042544541
72513013550000
oct432733301315
9118013726817
1037974016717
111511738489a
127439508151
13377240b5a0
141ba34ab537
15ec3be0797
hex8d76d82cd

37974016717 has 30 divisors (see below), whose sum is σ = 47751397582. Its totient is φ = 30018136176.

The previous prime is 37974016687. The next prime is 37974016727. The reversal of 37974016717 is 71761047973.

It can be written as a sum of positive squares in only one way, i.e., 26289703881 + 11684312836 = 162141^2 + 108094^2 .

It is a de Polignac number, because none of the positive numbers 2k-37974016717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37974016727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 34427388 + ... + 34428490.

Almost surely, 237974016717 is an apocalyptic number.

It is an amenable number.

37974016717 is a deficient number, since it is larger than the sum of its proper divisors (9777380865).

37974016717 is an frugal number, since it uses more digits than its factorization.

37974016717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 52.

Multiplying 37974016717 by its sum of digits (52), we get a square (1974648869284 = 14052222).

The spelling of 37974016717 in words is "thirty-seven billion, nine hundred seventy-four million, sixteen thousand, seven hundred seventeen".

Divisors: 1 7 13 49 91 343 637 1103 2401 4459 7721 14339 31213 54047 100373 378329 702611 1216609 2648303 4918277 8516263 15815917 34427939 59613841 110711419 417296887 774979933 2921078209 5424859531 37974016717