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2131448602368 = 28331563159017
BaseRepresentation
bin11111000001000100001…
…111001001111100000000
321112202122022120201110110
4133001010033021330000
5234410201320233433
64311101324431320
7306664166121651
oct37010417117400
97482568521413
102131448602368
11751a40195358
122a51099a8540
13125cc15a3867
147523c4bd528
153a69d0d6963
hex1f0443c9f00

2131448602368 has 144 divisors (see below), whose sum is σ = 5866191830016. Its totient is φ = 686338498560.

The previous prime is 2131448602331. The next prime is 2131448602379. The reversal of 2131448602368 is 8632068441312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324396 + ... + 13483412.

It is an arithmetic number, because the mean of its divisors is an integer number (40737443264).

Almost surely, 22131448602368 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 2131448602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933095915008).

2131448602368 is an abundant number, since it is smaller than the sum of its proper divisors (3734743227648).

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

2131448602368 is a wasteful number, since it uses less digits than its factorization.

2131448602368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159630 (or 159616 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 2131448602368 in words is "two trillion, one hundred thirty-one billion, four hundred forty-eight million, six hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 563 744 768 992 1126 1488 1689 1984 2252 2976 3378 3968 4504 5952 6756 7936 9008 11904 13512 17453 18016 23808 27024 34906 36032 52359 54048 69812 72064 104718 108096 139624 144128 159017 209436 216192 279248 318034 418872 432384 477051 558496 636068 837744 954102 1116992 1272136 1675488 1908204 2233984 2544272 3350976 3816408 4467968 4929527 5088544 6701952 7632816 9859054 10177088 13403904 14788581 15265632 19718108 20354176 29577162 30531264 39436216 40708352 59154324 61062528 78872432 89526571 118308648 122125056 157744864 179053142 236617296 268579713 315489728 358106284 473234592 537159426 630979456 716212568 946469184 1074318852 1261958912 1432425136 1892938368 2148637704 2775323701 2864850272 3785876736 4297275408 5550647402 5729700544 8325971103 8594550816 11101294804 11459401088 16651942206 17189101632 22202589608 22918802176 33303884412 34378203264 44405179216 66607768824 68756406528 88810358432 133215537648 177620716864 266431075296 355241433728 532862150592 710482867456 1065724301184 2131448602368