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82947109696 = 26113112729927
BaseRepresentation
bin100110101000000001…
…0000111001101000000
321221002201121202110221
41031100002013031000
52324333430002241
6102034432232424
75664335541103
oct1152002071500
9257081552427
1082947109696
11321a5532230
12140aa99b714
137a8b88b4c9
14402c33473a
1522570b65d1
hex1350087340

82947109696 has 112 divisors (see below), whose sum is σ = 186819674112. Its totient is φ = 36198489600.

The previous prime is 82947109673. The next prime is 82947109703. The reversal of 82947109696 is 69690174928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2756685 + ... + 2786611.

Almost surely, 282947109696 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 82947109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93409837056).

82947109696 is an abundant number, since it is smaller than the sum of its proper divisors (103872564416).

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

82947109696 is a wasteful number, since it uses less digits than its factorization.

82947109696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30108 (or 30098 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 82947109696 in words is "eighty-two billion, nine hundred forty-seven million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 127 176 248 254 341 352 496 508 682 704 992 1016 1364 1397 1984 2032 2728 2794 3937 4064 5456 5588 7874 8128 10912 11176 15748 21824 22352 29927 31496 43307 44704 59854 62992 86614 89408 119708 125984 173228 239416 251968 329197 346456 478832 658394 692912 927737 957664 1316788 1385824 1855474 1915328 2633576 2771648 3710948 3800729 5267152 7421896 7601458 10205107 10534304 14843792 15202916 20410214 21068608 29687584 30405832 40820428 41808019 59375168 60811664 81640856 83616038 117822599 121623328 163281712 167232076 235645198 243246656 326563424 334464152 471290396 653126848 668928304 942580792 1296048589 1337856608 1885161584 2592097178 2675713216 3770323168 5184194356 7540646336 10368388712 20736777424 41473554848 82947109696