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16312914596680 = 23513229461297161
BaseRepresentation
bin1110110101100010010101…
…1110101101001101001000
32010202111111001210022121021
43231120211132231031020
54114232322114043210
654410014405522224
73302366142136402
oct355304536551510
963674431708537
1016312914596680
11521a2a5016369
1219b5676113374
139143bbab5cb0
14405799317b72
151d450a26bbda
hexed6257ad348

16312914596680 has 128 divisors (see below), whose sum is σ = 39786306991200. Its totient is φ = 5983899033600.

The previous prime is 16312914596581. The next prime is 16312914596723. The reversal of 16312914596680 is 8669541921361.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5557702520484 + 10755212076196 = 2357478^2 + 3279514^2 .

It is a super-2 number, since 2×163129145966802 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54747300 + ... + 55044460.

Almost surely, 216312914596680 is an apocalyptic number.

16312914596680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16312914596680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893153495600).

16312914596680 is an abundant number, since it is smaller than the sum of its proper divisors (23473392394520).

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

16312914596680 is a wasteful number, since it uses less digits than its factorization.

16312914596680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297875 (or 297871 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 16312914596680 in words is "sixteen trillion, three hundred twelve billion, nine hundred fourteen million, five hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 458 461 520 916 922 1145 1832 1844 2290 2305 2977 3688 4580 4610 5954 5993 9160 9220 11908 11986 14885 18440 23816 23972 29770 29965 47944 59540 59930 105569 119080 119860 211138 239720 297161 422276 527845 594322 844552 1055690 1188644 1372397 1485805 2111380 2377288 2744794 2971610 3863093 4222760 5489588 5943220 6861985 7726186 10979176 11886440 13723970 15452372 19315465 27447940 30904744 38630930 54895880 68049869 77261860 136099738 136991221 154523720 272199476 273982442 340249345 544398952 547964884 680498690 684956105 884648297 1095929768 1360997380 1369912210 1769296594 1780885873 2721994760 2739824420 3538593188 3561771746 4423241485 5479648840 7077186376 7123543492 8846482970 8904429365 14247086984 17692965940 17808858730 31370989609 35385931880 35617717460 62741979218 71235434920 125483958436 156854948045 250967916872 313709896090 407822864917 627419792180 815645729834 1254839584360 1631291459668 2039114324585 3262582919336 4078228649170 8156457298340 16312914596680