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825730331796 = 2232314349934483
BaseRepresentation
bin11000000010000010101…
…11001111010010010100
32220221100120022000200100
430001001113033102110
5102012043431104141
61431200230414100
7113441240004426
oct14010127172224
92827316260610
10825730331796
11299210277917
12114047501330
135cb348b2286
142bd73700816
151672c1790b6
hexc0415cf494

825730331796 has 144 divisors (see below), whose sum is σ = 2209182976000. Its totient is φ = 259641184320.

The previous prime is 825730331791. The next prime is 825730331807. The reversal of 825730331796 is 697133037528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825730331791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23928771 + ... + 23963253.

Almost surely, 2825730331796 is an apocalyptic number.

825730331796 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825730331796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104591488000).

825730331796 is an abundant number, since it is smaller than the sum of its proper divisors (1383452644204).

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

825730331796 is a wasteful number, since it uses less digits than its factorization.

825730331796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35066 (or 35061 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 825730331796 in words is "eight hundred twenty-five billion, seven hundred thirty million, three hundred thirty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 499 516 558 774 998 1116 1333 1497 1548 1996 2666 2994 3999 4491 5332 5988 7998 8982 11997 15469 15996 17964 21457 23994 30938 34483 42914 46407 47988 61876 64371 68966 85828 92814 103449 128742 137932 139221 185628 193113 206898 257484 278442 310347 386226 413796 556884 620694 665167 772452 1068973 1241388 1330334 1482769 1995501 2137946 2660668 2965538 3206919 3991002 4275892 4448307 5931076 5986503 6413838 7982004 8896614 9620757 11973006 12827676 13344921 17207017 17793228 19241514 23946012 26689842 34414034 38483028 45965839 51621051 53379684 68828068 91931678 103242102 137897517 154863153 183863356 206484204 275795034 309726306 413692551 533417527 551590068 619452612 739901731 827385102 1066835054 1479803462 1600252581 1654770204 2133670108 2219705193 2959606924 3200505162 4439410386 4800757743 6401010324 6659115579 8878820772 9601515486 13318231158 19203030972 22936953661 26636462316 45873907322 68810860983 91747814644 137621721966 206432582949 275243443932 412865165898 825730331796