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1385002001526 = 23111312291313443
BaseRepresentation
bin10100001001111000100…
…011010110010001110110
311220101221011121112100220
4110021320203112101312
5140142441003022101
62540132223315210
7202030432524663
oct24117043262166
94811834545326
101385002001526
11494415583030
121a450a44bb06
13a07b360bb70
144b06a786a6a
15260615e3636
hex142788d6476

1385002001526 has 64 divisors (see below), whose sum is σ = 3256920817920. Its totient is φ = 387097626240.

The previous prime is 1385002001491. The next prime is 1385002001527. The reversal of 1385002001526 is 6251002005831.

It is a super-2 number, since 2×13850020015262 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385002001527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397761 + ... + 1711203.

It is an arithmetic number, because the mean of its divisors is an integer number (50889387780).

Almost surely, 21385002001526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385002001526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628460408960).

1385002001526 is an abundant number, since it is smaller than the sum of its proper divisors (1871918816394).

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

1385002001526 is a wasteful number, since it uses less digits than its factorization.

1385002001526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314701.

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1385002001526 in words is "one trillion, three hundred eighty-five billion, two million, one thousand, five hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1229 2458 3687 7374 13519 15977 27038 31954 40557 47931 81114 95862 175747 351494 527241 1054482 1313443 2626886 3940329 7880658 14447873 17074759 28895746 34149518 43343619 51224277 86687238 102448554 187822349 375644698 563467047 1126934094 1614221447 3228442894 4842664341 9685328682 17756435917 20984878811 35512871834 41969757622 53269307751 62954636433 106538615502 125909272866 230833666921 461667333842 692501000763 1385002001526