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3804016768 = 27293727697
BaseRepresentation
bin1110001010111100…
…1011000010000000
3100211002221001222221
43202233023002000
530242312014033
61425245140424
7163160415616
oct34257130200
910732831887
103804016768
1116822a5112
128a1b5a714
134881427c6
142812d96b6
15173e6112d
hexe2bcb080

3804016768 has 64 divisors (see below), whose sum is σ = 8051808600. Its totient is φ = 1786724352.

The previous prime is 3804016717. The next prime is 3804016793. The reversal of 3804016768 is 8676104083.

It can be written as a sum of positive squares in 4 ways, for example, as 2960230464 + 843786304 = 54408^2 + 29048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123496 + ... + 151192.

Almost surely, 23804016768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3804016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025904300).

3804016768 is an abundant number, since it is smaller than the sum of its proper divisors (4247791832).

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

3804016768 is a wasteful number, since it uses less digits than its factorization.

3804016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27777 (or 27765 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 3804016768 is about 61676.7117152009. The cubic root of 3804016768 is about 1561.0403929925.

The spelling of 3804016768 in words is "three billion, eight hundred four million, sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 296 464 592 928 1073 1184 1856 2146 2368 3712 4292 4736 8584 17168 27697 34336 55394 68672 110788 137344 221576 443152 803213 886304 1024789 1606426 1772608 2049578 3212852 3545216 4099156 6425704 8198312 12851408 16396624 25702816 29718881 32793248 51405632 59437762 65586496 102811264 118875524 131172992 237751048 475502096 951004192 1902008384 3804016768