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8032115196 = 223574725117
BaseRepresentation
bin1110111101100000…
…00101100111111100
3202201202211201200000
413132300011213330
5112422210141241
63405004034300
7403020565320
oct73660054774
922652751600
108032115196
113451a13036
121681b32990
139b00a8ab1
14562a67980
15320240eb6
hex1dec059fc

8032115196 has 144 divisors (see below), whose sum is σ = 24576254976. Its totient is φ = 2245973184.

The previous prime is 8032115107. The next prime is 8032115197. The reversal of 8032115196 is 6915112308.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8032115196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8032115197) 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 47 ways as a sum of consecutive naturals, for example, 307230 + ... + 332346.

Almost surely, 28032115196 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 8032115196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288127488).

8032115196 is an abundant number, since it is smaller than the sum of its proper divisors (16544139780).

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

8032115196 is a wasteful number, since it uses less digits than its factorization.

8032115196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25190 (or 25176 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8032115196 is about 89622.0686884653. The cubic root of 8032115196 is about 2002.6726930982.

The spelling of 8032115196 in words is "eight billion, thirty-two million, one hundred fifteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 81 84 94 108 126 141 162 188 189 243 252 282 324 329 378 423 486 564 567 658 756 846 972 987 1134 1269 1316 1692 1701 1974 2268 2538 2961 3402 3807 3948 5076 5922 6804 7614 8883 11421 11844 15228 17766 22842 25117 26649 35532 45684 50234 53298 75351 79947 100468 106596 150702 159894 175819 226053 301404 319788 351638 452106 527457 678159 703276 904212 1054914 1180499 1356318 1582371 2034477 2109828 2360998 2712636 3164742 3541497 4068954 4721996 4747113 6103431 6329484 7082994 8137908 8263493 9494226 10624491 12206862 14165988 14241339 16526986 18988452 21248982 24413724 24790479 28482678 31873473 33053972 42497964 42724017 49580958 56965356 63746946 74371437 85448034 95620419 99161916 127493892 148742874 170896068 191240838 223114311 286861257 297485748 382481676 446228622 573722514 669342933 892457244 1147445028 1338685866 2008028799 2677371732 4016057598 8032115196