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8197385346 = 232171910713177
BaseRepresentation
bin1111010001001101…
…00010110010000010
3210011021211022200200
413220212202302002
5113242012312341
63433230230030
7410065424433
oct75046426202
923137738620
108197385346
113527234a37
121709355316
13a083c3297
1457a9a948a
1532e9d9db6
hex1e89a2c82

8197385346 has 96 divisors (see below), whose sum is σ = 19982064960. Its totient is φ = 2413421568.

The previous prime is 8197385303. The next prime is 8197385347. The reversal of 8197385346 is 6435837918.

It is a junction number, because it is equal to n+sod(n) for n = 8197385292 and 8197385301.

It is not an unprimeable number, because it can be changed into a prime (8197385347) 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, 615510 + ... + 628686.

It is an arithmetic number, because the mean of its divisors is an integer number (208146510).

Almost surely, 28197385346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8197385346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991032480).

8197385346 is an abundant number, since it is smaller than the sum of its proper divisors (11784679614).

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

8197385346 is a wasteful number, since it uses less digits than its factorization.

8197385346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328 (or 13325 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 8197385346 is about 90539.4132187745. The cubic root of 8197385346 is about 2016.3153220522.

The spelling of 8197385346 in words is "eight billion, one hundred ninety-seven million, three hundred eighty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 107 114 153 171 214 306 321 323 342 642 646 963 969 1819 1926 1938 2033 2907 3638 4066 5457 5814 6099 10914 12198 13177 16371 18297 26354 32742 34561 36594 39531 69122 79062 103683 118593 207366 224009 237186 250363 311049 448018 500726 622098 672027 751089 1344054 1409939 1502178 2016081 2253267 2819878 4032162 4229817 4256171 4506534 8459634 8512342 12689451 12768513 23968963 25378902 25537026 26788841 38305539 47937926 53577682 71906889 76611078 80366523 143813778 160733046 215720667 241099569 431441334 455410297 482199138 910820594 1366230891 2732461782 4098692673 8197385346