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8101464112 = 2471931127967
BaseRepresentation
bin1111000101110001…
…01000100000110000
3202220121100000111101
413202320220200300
5113042433322422
63415522254144
7404522210620
oct74270504060
922817300441
108101464112
113488079995
1216a11b7354
139c157a161
1456bd5a880
1532638dc27
hex1e2e28830

8101464112 has 160 divisors (see below), whose sum is σ = 19666042880. Its totient is φ = 3154878720.

The previous prime is 8101464097. The next prime is 8101464113. The reversal of 8101464112 is 2114641018.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8101464113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8377453 + ... + 8378419.

It is an arithmetic number, because the mean of its divisors is an integer number (122912768).

Almost surely, 28101464112 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 8101464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833021440).

8101464112 is an abundant number, since it is smaller than the sum of its proper divisors (11564578768).

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

8101464112 is a wasteful number, since it uses less digits than its factorization.

8101464112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 8101464112 is about 90008.1335880264. The cubic root of 8101464112 is about 2008.4198460203.

The spelling of 8101464112 in words is "eight billion, one hundred one million, four hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 127 133 152 217 248 254 266 304 434 496 508 532 589 868 889 967 1016 1064 1178 1736 1778 1934 2032 2128 2356 2413 3472 3556 3868 3937 4123 4712 4826 6769 7112 7736 7874 8246 9424 9652 13538 14224 15472 15748 16492 16891 18373 19304 27076 27559 29977 31496 32984 33782 36746 38608 54152 55118 59954 62992 65968 67564 73492 74803 108304 110236 119908 122809 128611 135128 146984 149606 209839 220472 239816 245618 257222 270256 293968 299212 419678 440944 479632 491236 514444 523621 569563 598424 839356 859663 982472 1028888 1047242 1139126 1196848 1678712 1719326 1964944 2057776 2094484 2278252 2333371 3357424 3438652 3807079 3986941 4188968 4556504 4666742 6877304 7614158 7973882 8377936 9113008 9333484 13754608 15228316 15947764 16333597 18666968 26649553 30456632 31895528 32667194 37333936 53299106 60913264 63791056 65334388 72334501 106598212 130668776 144669002 213196424 261337552 289338004 426392848 506341507 578676008 1012683014 1157352016 2025366028 4050732056 8101464112