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8004011904 = 27327992561
BaseRepresentation
bin1110111010001001…
…11000011110000000
3202122210221221012100
413131010320132000
5112343011340104
63402121430400
7402226656450
oct73504703600
922583857170
108004011904
113438068679
12167463b400
139a7319225
1455d02dd60
1531ca3e139
hex1dd138780

8004011904 has 96 divisors (see below), whose sum is σ = 26322744240. Its totient is φ = 2286858240.

The previous prime is 8004011903. The next prime is 8004011909. The reversal of 8004011904 is 4091104008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004011903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488217 + ... + 504344.

Almost surely, 28004011904 is an apocalyptic number.

8004011904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8004011904 is an abundant number, since it is smaller than the sum of its proper divisors (18318732336).

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

8004011904 is a wasteful number, since it uses less digits than its factorization.

8004011904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992588 (or 992573 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8004011904 is about 89465.1435141083. The cubic root of 8004011904 is about 2000.3342694622.

The spelling of 8004011904 in words is "eight billion, four million, eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 992561 1985122 2977683 3970244 5955366 6947927 7940488 8933049 11910732 13895854 15880976 17866098 20843781 23821464 27791708 31761952 35732196 41687562 47642928 55583416 62531343 63523904 71464392 83375124 95285856 111166832 125062686 127047808 142928784 166750248 190571712 222333664 250125372 285857568 333500496 381143424 444667328 500250744 571715136 667000992 889334656 1000501488 1143430272 1334001984 2001002976 2668003968 4002005952 8004011904