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1948016071 = 37487108109
BaseRepresentation
bin111010000011100…
…0101110111000111
312000202112110200101
41310013011313013
512442143003241
6521144424531
766162602101
oct16407056707
95022473611
101948016071
1190a671341
12464478147
13250775c41
14146a06571
15b6044e31
hex741c5dc7

1948016071 has 8 divisors (see below), whose sum is σ = 2004791840. Its totient is φ = 1891457568.

The previous prime is 1948016051. The next prime is 1948016087. The reversal of 1948016071 is 1706108491.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(1948016071) divides (1948016071-1)5.

It is a cyclic number.

It is not a de Polignac number, because 1948016071 - 27 = 1948015943 is a prime.

It is a super-2 number, since 2×19480160712 = 7589533225748554082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

1948016071 is a modest number, since divided by 16071 gives 1948 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1948016071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948016011) 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 7 ways as a sum of consecutive naturals, for example, 36036 + ... + 72073.

It is an arithmetic number, because the mean of its divisors is an integer number (250598980).

Almost surely, 21948016071 is an apocalyptic number.

1948016071 is a deficient number, since it is larger than the sum of its proper divisors (56775769).

1948016071 is a wasteful number, since it uses less digits than its factorization.

1948016071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108633.

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1948016071 is about 44136.3350426834. The cubic root of 1948016071 is about 1248.9091434492.

The spelling of 1948016071 in words is "one billion, nine hundred forty-eight million, sixteen thousand, seventy-one".

Divisors: 1 37 487 18019 108109 4000033 52649083 1948016071