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5376211728 = 2431923733511
BaseRepresentation
bin1010000000111001…
…00111101100010000
3111212200021212000220
411000130213230100
542002302233403
62245250513040
7250141021446
oct50034475420
914780255026
105376211728
112309805498
121060595780
13678a91694
14390032b96
15216ebb953
hex140727b10

5376211728 has 160 divisors (see below), whose sum is σ = 15468533760. Its totient is φ = 1601233920.

The previous prime is 5376211723. The next prime is 5376211739. The reversal of 5376211728 is 8271126735.

It is a self number, because there is not a number n which added to its sum of digits gives 5376211728.

It is not an unprimeable number, because it can be changed into a prime (5376211723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1529493 + ... + 1533003.

It is an arithmetic number, because the mean of its divisors is an integer number (96678336).

Almost surely, 25376211728 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 5376211728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734266880).

5376211728 is an abundant number, since it is smaller than the sum of its proper divisors (10092322032).

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

5376211728 is a wasteful number, since it uses less digits than its factorization.

5376211728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3631 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 5376211728 is about 73322.6549437485. The cubic root of 5376211728 is about 1751.8306533424.

The spelling of 5376211728 in words is "five billion, three hundred seventy-six million, two hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 73 76 92 114 138 146 152 184 219 228 276 292 304 368 437 438 456 552 584 874 876 912 1104 1168 1311 1387 1679 1748 1752 2622 2774 3358 3496 3504 3511 4161 5037 5244 5548 6716 6992 7022 8322 10074 10488 10533 11096 13432 14044 16644 20148 20976 21066 22192 26864 28088 31901 33288 40296 42132 56176 63802 66576 66709 80592 80753 84264 95703 127604 133418 161506 168528 191406 200127 242259 255208 256303 266836 323012 382812 400254 484518 510416 512606 533672 646024 765624 768909 800508 969036 1025212 1067344 1292048 1531248 1534307 1537818 1601016 1938072 2050424 3068614 3075636 3202032 3876144 4100848 4602921 4869757 5894969 6137228 6151272 9205842 9739514 11789938 12274456 12302544 14609271 17684907 18411684 19479028 23579876 24548912 29218542 35369814 36823368 38958056 47159752 58437084 70739628 73646736 77916112 94319504 112004411 116874168 141479256 224008822 233748336 282958512 336013233 448017644 672026466 896035288 1344052932 1792070576 2688105864 5376211728