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44983838944 = 2511310110457
BaseRepresentation
bin101001111001001111…
…101110100011100000
311022010000000210021001
4221321033232203200
51214111330321234
632355411441344
73151512215332
oct517117564340
9138100023231
1044983838944
1118094228000
128874bb6254
13431b7731a5
14226a463452
1512842e9d14
hexa793ee8e0

44983838944 has 96 divisors (see below), whose sum is σ = 98385350112. Its totient is φ = 20242816000.

The previous prime is 44983838903. The next prime is 44983838951.

44983838944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449838389442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4296564 + ... + 4307020.

It is an arithmetic number, because the mean of its divisors is an integer number (1024847397).

Almost surely, 244983838944 is an apocalyptic number.

44983838944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44983838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49192675056).

44983838944 is an abundant number, since it is smaller than the sum of its proper divisors (53401511168).

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

44983838944 is a wasteful number, since it uses less digits than its factorization.

44983838944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601 (or 10571 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 64.

The spelling of 44983838944 in words is "forty-four billion, nine hundred eighty-three million, eight hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 121 176 202 242 352 404 484 808 968 1111 1331 1616 1936 2222 2662 3232 3872 4444 5324 8888 10457 10648 12221 17776 20914 21296 24442 35552 41828 42592 48884 83656 97768 115027 134431 167312 195536 230054 268862 334624 391072 460108 537724 920216 1056157 1075448 1265297 1840432 2112314 2150896 2530594 3680864 4224628 4301792 5061188 8449256 10122376 11617727 13918267 16898512 20244752 23235454 27836534 33797024 40489504 46470908 55673068 92941816 111346136 127794997 185883632 222692272 255589994 371767264 445384544 511179988 1022359976 1405744967 2044719952 2811489934 4089439904 5622979868 11245959736 22491919472 44983838944