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42170000491 = 3747167145207
BaseRepresentation
bin100111010001100001…
…110010010001101011
311000211220021222120001
4213101201302101223
51142331010003431
631212253243431
73022004042563
oct472141622153
9130756258501
1042170000491
111697a958583
12820a793577
133c9080c218
142080879da3
15116c279e61
hex9d187246b

42170000491 has 16 divisors (see below), whose sum is σ = 44496377856. Its totient is φ = 39916548576.

The previous prime is 42170000479. The next prime is 42170000549. The reversal of 42170000491 is 19400007124.

42170000491 is a nontrivial binomial coefficient, being equal to C(290414, 2).

It is a cyclic number.

It is not a de Polignac number, because 42170000491 - 25 = 42170000459 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42170000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217810 + ... + 363016.

It is an arithmetic number, because the mean of its divisors is an integer number (2781023616).

Almost surely, 242170000491 is an apocalyptic number.

42170000491 is the 290413-rd triangular number and also the 145207-th hexagonal number.

42170000491 is the 96805-th centered nonagonal number.

42170000491 is a deficient number, since it is larger than the sum of its proper divisors (2326377365).

42170000491 is a wasteful number, since it uses less digits than its factorization.

42170000491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145458.

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 42170000491 in words is "forty-two billion, one hundred seventy million, four hundred ninety-one", and thus it is an aban number.

Divisors: 1 37 47 167 1739 6179 7849 145207 290413 5372659 6824729 24249569 252514973 897234053 1139729743 42170000491