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681490439506272 = 253111076031315841
BaseRepresentation
bin1001101011110011111101101…
…1100100001000100101100000
310022100221211221110121221012110
42122330333123210020211200
51203311014410003200042
610413224215204155320
7263355026251226514
oct23274773344104540
93270854843557173
10681490439506272
11188164521755a90
12645254b5398b40
132333537115c456
14c040455856144
1553bc1e49ac09c
hex26bcfdb908960

681490439506272 has 96 divisors (see below), whose sum is σ = 1969779503470464. Its totient is φ = 204582233292800.

The previous prime is 681490439506213. The next prime is 681490439506313. The reversal of 681490439506272 is 272605934094186.

681490439506272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015544929 + ... + 3015770912.

It is an arithmetic number, because the mean of its divisors is an integer number (20518536494484).

It is a 2-persistent number, because it is pandigital, and so is 2⋅681490439506272 = 1362980879012544, but 3⋅681490439506272 = 2044471318518816 is not.

Almost surely, 2681490439506272 is an apocalyptic number.

It is an amenable number.

681490439506272 is an abundant number, since it is smaller than the sum of its proper divisors (1288289063964192).

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

681490439506272 is a wasteful number, since it uses less digits than its factorization.

681490439506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031315972 (or 6031315964 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 681490439506272 in words is "six hundred eighty-one trillion, four hundred ninety billion, four hundred thirty-nine million, five hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 132 176 214 264 321 352 428 528 642 856 1056 1177 1284 1712 2354 2568 3424 3531 4708 5136 7062 9416 10272 14124 18832 28248 37664 56496 112992 6031315841 12062631682 18093947523 24125263364 36187895046 48250526728 66344474251 72375790092 96501053456 132688948502 144751580184 193002106912 199033422753 265377897004 289503160368 398066845506 530755794008 579006320736 645350794987 796133691012 1061511588016 1290701589974 1592267382024 1936052384961 2123023176032 2581403179948 3184534764048 3872104769922 5162806359896 6369069528096 7098858744857 7744209539844 10325612719792 14197717489714 15488419079688 20651225439584 21296576234571 28395434979428 30976838159376 42593152469142 56790869958856 61953676318752 85186304938284 113581739917712 170372609876568 227163479835424 340745219753136 681490439506272