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12533975797398 = 2311297199894391
BaseRepresentation
bin1011011001100100101100…
…1011001100111010010110
31122101020101022202011010120
42312121023023030322112
53120324040301004043
642354010132332410
72432356414262646
oct266311313147226
948336338664116
1012533975797398
113aa26a1639800
1214a5203174106
136cbc447cbb93
1431490d2a0526
1516b086721983
hexb664b2cce96

12533975797398 has 96 divisors (see below), whose sum is σ = 27978012787200. Its totient is φ = 3740124326400.

The previous prime is 12533975797393. The next prime is 12533975797417. The reversal of 12533975797398 is 89379757933521.

It is a happy number.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533975797393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13566783 + ... + 14461173.

It is an arithmetic number, because the mean of its divisors is an integer number (291437633200).

Almost surely, 212533975797398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12533975797398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989006393600).

12533975797398 is an abundant number, since it is smaller than the sum of its proper divisors (15444036989802).

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

12533975797398 is a wasteful number, since it uses less digits than its factorization.

12533975797398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894714 (or 894703 counting only the distinct ones).

The product of its digits is 2700507600, while the sum is 78.

The spelling of 12533975797398 in words is "twelve trillion, five hundred thirty-three billion, nine hundred seventy-five million, seven hundred ninety-seven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 97 121 194 199 242 291 363 398 582 597 726 1067 1194 2134 2189 3201 4378 6402 6567 11737 13134 19303 23474 24079 35211 38606 48158 57909 70422 72237 115818 144474 212333 424666 636999 894391 1273998 1788782 2335663 2683173 4671326 5366346 7006989 9838301 14013978 19676602 29514903 59029806 86755927 108221311 173511854 177983809 216442622 260267781 324663933 355967618 520535562 533951427 649327866 954315197 1067902854 1908630394 1957821899 2862945591 3915643798 5725891182 5873465697 10497467167 11746931394 17264429473 20994934334 21536040889 31492401501 34528858946 43072081778 51793288419 62984803002 64608122667 103586576838 129216245334 189908724203 379817448406 569726172609 1139452345218 2088995966233 4177991932466 6266987898699 12533975797398