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6044364768 = 253132379983
BaseRepresentation
bin1011010000100010…
…11010111111100000
3120121020112112200210
411220101122333200
544334324133033
62435435414120
7302533152501
oct55021327740
916536475623
106044364768
112621982792
1212082b4340
13754330200
14414a7aba8
1525599cd63
hex16845afe0

6044364768 has 144 divisors (see below), whose sum is σ = 17243694720. Its totient is φ = 1853010432.

The previous prime is 6044364763. The next prime is 6044364803. The reversal of 6044364768 is 8674634406.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6044364761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6148405 + ... + 6149387.

It is an arithmetic number, because the mean of its divisors is an integer number (119747880).

Almost surely, 26044364768 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 6044364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621847360).

6044364768 is an abundant number, since it is smaller than the sum of its proper divisors (11199329952).

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

6044364768 is a wasteful number, since it uses less digits than its factorization.

6044364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The square root of 6044364768 is about 77745.5128480094. The cubic root of 6044364768 is about 1821.5882734100.

The spelling of 6044364768 in words is "six billion, forty-four million, three hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 379 416 507 624 676 758 983 1014 1137 1248 1352 1516 1966 2028 2274 2704 2949 3032 3932 4056 4548 4927 5408 5898 6064 7864 8112 9096 9854 11796 12128 12779 14781 15728 16224 18192 19708 23592 25558 29562 31456 36384 38337 39416 47184 51116 59124 64051 76674 78832 94368 102232 118248 128102 153348 157664 166127 192153 204464 236496 256204 306696 332254 372557 384306 408928 472992 498381 512408 613392 664508 745114 768612 996762 1024816 1117671 1226784 1329016 1490228 1537224 1993524 2049632 2235342 2658032 2980456 3074448 3987048 4470684 4843241 5316064 5960912 6148896 7974096 8941368 9686482 11921824 14529723 15948192 17882736 19372964 29059446 35765472 38745928 58118892 62962133 77491856 116237784 125924266 154983712 188886399 232475568 251848532 377772798 464951136 503697064 755545596 1007394128 1511091192 2014788256 3022182384 6044364768