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42174131637 = 3114143724903
BaseRepresentation
bin100111010001110001…
…100010110110110101
311000212012001212102110
4213101301202312311
51142333034203022
631212522001233
73022054130001
oct472161426665
9130765055373
1042174131637
111698221a350
128210046219
133c916276a1
142081233701
15116c7e400c
hex9d1c62db5

42174131637 has 32 divisors (see below), whose sum is σ = 64301884416. Its totient is φ = 24356707200.

The previous prime is 42174131609. The next prime is 42174131639. The reversal of 42174131637 is 73613147124.

It is not a de Polignac number, because 42174131637 - 226 = 42107022773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42174131595 and 42174131604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42174131639) 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 31 ways as a sum of consecutive naturals, for example, 304273 + ... + 420630.

It is an arithmetic number, because the mean of its divisors is an integer number (2009433888).

Almost surely, 242174131637 is an apocalyptic number.

It is an amenable number.

42174131637 is a deficient number, since it is larger than the sum of its proper divisors (22127752779).

42174131637 is a wasteful number, since it uses less digits than its factorization.

42174131637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725001.

The product of its digits is 84672, while the sum is 39.

The spelling of 42174131637 in words is "forty-two billion, one hundred seventy-four million, one hundred thirty-one thousand, six hundred thirty-seven".

Divisors: 1 3 11 33 41 43 123 129 451 473 1353 1419 1763 5289 19393 58179 724903 2174709 7973933 23921799 29721023 31170829 89163069 93512487 326931253 342879119 980793759 1028637357 1278003989 3834011967 14058043879 42174131637