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17972869005 = 335731373409
BaseRepresentation
bin10000101111010001…
…000011011110001101
31201101120010100022000
4100233101003132031
5243302023302010
612131232542513
71204245603000
oct205721033615
951346110260
1017972869005
117693241553
1235970b1a39
131905721440
14c26da7537
15702ce97c0
hex42f44378d

17972869005 has 256 divisors, whose sum is σ = 40776960000. Its totient is φ = 7461974016.

The previous prime is 17972868997. The next prime is 17972869027. The reversal of 17972869005 is 50096827971.

It is not a de Polignac number, because 17972869005 - 23 = 17972868997 is a prime.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 43943241 + ... + 43943649.

It is an arithmetic number, because the mean of its divisors is an integer number (159285000).

Almost surely, 217972869005 is an apocalyptic number.

17972869005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17972869005 is an abundant number, since it is smaller than the sum of its proper divisors (22804090995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17972869005 is a wasteful number, since it uses less digits than its factorization.

17972869005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 17972869005 in words is "seventeen billion, nine hundred seventy-two million, eight hundred sixty-nine thousand, five".