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8000801893 = 7371491511373
BaseRepresentation
bin1110111001110001…
…01000110001100101
3202122120220211220001
413130320220301211
5112341201130033
63401524541301
7402160460020
oct73470506145
922576824801
108000801893
113436275977
121673551831
139a6764106
1455c8361b7
1531c607e7d
hex1dce28c65

8000801893 has 32 divisors (see below), whose sum is σ = 9523468800. Its totient is φ = 6579014400.

The previous prime is 8000801881. The next prime is 8000801911. The reversal of 8000801893 is 3981080008.

It is not a de Polignac number, because 8000801893 - 29 = 8000801381 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000801093) 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 31 ways as a sum of consecutive naturals, for example, 5826555 + ... + 5827927.

It is an arithmetic number, because the mean of its divisors is an integer number (297608400).

Almost surely, 28000801893 is an apocalyptic number.

It is an amenable number.

8000801893 is a deficient number, since it is larger than the sum of its proper divisors (1522666907).

8000801893 is a wasteful number, since it uses less digits than its factorization.

8000801893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 8000801893 is about 89447.2017058108. The cubic root of 8000801893 is about 2000.0668221840.

The spelling of 8000801893 in words is "eight billion, eight hundred one thousand, eight hundred ninety-three".

Divisors: 1 7 37 149 151 259 1043 1057 1373 5513 5587 9611 22499 38591 39109 50801 157493 204577 207323 355607 832463 1432039 1451261 5827241 7569349 7670951 30891127 52985443 53696657 216237889 1142971699 8000801893