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1376130583116 = 2232619712775059
BaseRepresentation
bin10100000001100111110…
…001100100101001001100
311212120000220110210010200
4110001213301210221030
5140021303412124431
62532104034133500
7201264540646242
oct24014761445114
94776026423120
101376130583116
11490682925083
121a2853421290
139c9cb69b863
144a868482792
1525be2864ee6
hex14067c64a4c

1376130583116 has 144 divisors (see below), whose sum is σ = 3575530838880. Its totient is φ = 446101032960.

The previous prime is 1376130583103. The next prime is 1376130583117. The reversal of 1376130583116 is 6113850316731.

1376130583116 is a `hidden beast` number, since 1 + 3 + 7 + 61 + 3 + 0 + 583 + 1 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1376130583117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 272013795 + ... + 272018853.

It is an arithmetic number, because the mean of its divisors is an integer number (24830075270).

Almost surely, 21376130583116 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 1376130583116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787765419440).

1376130583116 is an abundant number, since it is smaller than the sum of its proper divisors (2199400255764).

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

1376130583116 is a wasteful number, since it uses less digits than its factorization.

1376130583116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

Adding to 1376130583116 its reverse (6113850316731), we get a palindrome (7489980899847).

The spelling of 1376130583116 in words is "one trillion, three hundred seventy-six billion, one hundred thirty million, five hundred eighty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 183 194 244 291 366 388 549 582 732 873 1098 1164 1277 1746 2196 2554 3492 3831 5059 5108 5917 7662 10118 11493 11834 15177 15324 17751 20236 22986 23668 30354 35502 45531 45972 53253 60708 71004 77897 91062 106506 123869 155794 182124 213012 233691 247738 308599 311588 371607 467382 490723 495476 617198 701073 743214 925797 934764 981446 1114821 1234396 1402146 1472169 1486428 1851594 1962892 2229642 2777391 2804292 2944338 3703188 4416507 4459284 5554782 5888676 6460343 7556009 8833014 11109564 12920686 15112018 17666028 19381029 22668027 25841372 29934103 30224036 38762058 45336054 58143087 59868206 68004081 77524116 89802309 90672108 116286174 119736412 136008162 179604618 232572348 269406927 272016324 359209236 394080923 538813854 626653271 788161846 1077627708 1182242769 1253306542 1576323692 1879959813 2364485538 2506613084 3546728307 3759919626 4728971076 5639879439 7093456614 7519839252 11279758878 14186913228 22559517756 38225849531 76451699062 114677548593 152903398124 229355097186 344032645779 458710194372 688065291558 1376130583116