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1044664005 = 35711791072
BaseRepresentation
bin111110010001000…
…100111011000101
32200210201102121110
4332101010323011
54114413222010
6251354435233
734613332440
oct7621047305
92623642543
101044664005
1149675a590
12251a32b19
131385778a8
149ca56657
1561aa5120
hex3e444ec5

1044664005 has 96 divisors (see below), whose sum is σ = 2130186240. Its totient is φ = 424644480.

The previous prime is 1044663989. The next prime is 1044664021. The reversal of 1044664005 is 5004664401.

1044664005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1044663989) and next prime (1044664021).

It is not a de Polignac number, because 1044664005 - 24 = 1044663989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9763162 + ... + 9763268.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 21044664005 is an apocalyptic number.

1044664005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1044664005 is an abundant number, since it is smaller than the sum of its proper divisors (1085522235).

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

1044664005 is a wasteful number, since it uses less digits than its factorization.

1044664005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1044664005 is about 32321.2624289337. The cubic root of 1044664005 is about 1014.6716904312.

The spelling of 1044664005 in words is "one billion, forty-four million, six hundred sixty-four thousand, five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 79 105 107 165 231 237 321 385 395 535 553 749 869 1155 1177 1185 1605 1659 2247 2607 2765 3531 3745 4345 5885 6083 8239 8295 8453 11235 11449 13035 17655 18249 24717 25359 30415 34347 41195 42265 57245 59171 80143 91245 92983 123585 125939 126795 171735 177513 240429 278949 295855 377817 400715 464915 629695 650881 881573 887565 904471 1202145 1394745 1889085 1952643 2644719 2713413 3254405 4407865 4522355 6331297 9763215 9949181 13223595 13567065 18993891 29847543 31656485 49745905 69644267 94969455 149237715 208932801 348221335 1044664005