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830091497116 = 2271941157242399
BaseRepresentation
bin11000001010001010100…
…11110000111010011100
32221100121111121011210211
430011011103300322130
5102100011410401431
61433201101342204
7113654304210220
oct14050523607234
92840544534724
10830091497116
112a0049011982
12114a63b67964
136037b298c7b
142c2689ca780
15168d4e912b1
hexc1454f0e9c

830091497116 has 96 divisors (see below), whose sum is σ = 1801594368000. Its totient is φ = 326713720320.

The previous prime is 830091497093. The next prime is 830091497117. The reversal of 830091497116 is 611794190038.

It is a self number, because there is not a number n which added to its sum of digits gives 830091497116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830091497117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3303285 + ... + 3545683.

It is an arithmetic number, because the mean of its divisors is an integer number (18766608000).

Almost surely, 2830091497116 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 830091497116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900797184000).

830091497116 is an abundant number, since it is smaller than the sum of its proper divisors (971502870884).

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

830091497116 is a wasteful number, since it uses less digits than its factorization.

830091497116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242627 (or 242625 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 830091497116 in words is "eight hundred thirty billion, ninety-one million, four hundred ninety-seven thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 157 164 266 287 314 532 574 628 779 1099 1148 1558 2198 2983 3116 4396 5453 5966 6437 10906 11932 12874 20881 21812 25748 41762 45059 83524 90118 122303 180236 242399 244606 484798 489212 856121 969596 1696793 1712242 3393586 3424484 4605581 6787172 9211162 9938359 18422324 19876718 32239067 38056643 39753436 64478134 69568513 76113286 128956268 139137026 152226572 188828821 266396501 278274052 377657642 532793002 723076217 755315284 1065586004 1321801747 1446152434 1560322363 2643603494 2892304868 3120644726 5061533519 5287206988 6241289452 10123067038 10922256541 20246134076 21844513082 29646124897 43689026164 59292249794 118584499588 207522874279 415045748558 830091497116