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8001474129 = 3211296741597
BaseRepresentation
bin1110111001110110…
…01100111001010001
3202122122012000000200
413130323030321101
5112341334133004
63401551205413
7402166256625
oct73473147121
922578160020
108001474129
113436694a40
121673816869
139a693b09c
1455c96d185
1531c6dc239
hex1dcecce51

8001474129 has 48 divisors (see below), whose sum is σ = 13238147520. Its totient is φ = 4612164480.

The previous prime is 8001474113. The next prime is 8001474193. The reversal of 8001474129 is 9214741008.

It is not a de Polignac number, because 8001474129 - 24 = 8001474113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8001474093 and 8001474102.

It is not an unprimeable number, because it can be changed into a prime (8001474329) 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 47 ways as a sum of consecutive naturals, for example, 171559 + ... + 213155.

It is an arithmetic number, because the mean of its divisors is an integer number (275794740).

Almost surely, 28001474129 is an apocalyptic number.

It is an amenable number.

8001474129 is a deficient number, since it is larger than the sum of its proper divisors (5236673391).

8001474129 is a wasteful number, since it uses less digits than its factorization.

8001474129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41710 (or 41707 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8001474129 is about 89450.9593520383. The cubic root of 8001474129 is about 2000.1228365388.

The spelling of 8001474129 in words is "eight billion, one million, four hundred seventy-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 29 33 67 87 99 201 261 319 603 737 957 1943 2211 2871 5829 6633 17487 21373 41597 64119 124791 192357 374373 457567 1206313 1372701 2786999 3618939 4118103 8360997 10856817 13269443 25082991 30656989 39808329 80822971 91970967 119424987 242468913 275912901 727406739 889052681 2667158043 8001474129