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16397246120 = 2352921812693
BaseRepresentation
bin11110100010101101…
…00001111010101000
31120022202022102000212
433101112201322220
5232040143333440
611311025520252
71120224202163
oct172126417250
946282272025
1016397246120
116a548aa782
1232174a3088
1317141721c8
14b17a1aada
1565e813465
hex3d15a1ea8

16397246120 has 96 divisors (see below), whose sum is σ = 38435244120. Its totient is φ = 6295403520.

The previous prime is 16397246111. The next prime is 16397246143. The reversal of 16397246120 is 2164279361.

16397246120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 25020004 + 16372226116 = 5002^2 + 127954^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6087494 + ... + 6090186.

Almost surely, 216397246120 is an apocalyptic number.

16397246120 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 16397246120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217622060).

16397246120 is an abundant number, since it is smaller than the sum of its proper divisors (22037998000).

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

16397246120 is a wasteful number, since it uses less digits than its factorization.

16397246120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 16397246120 in words is "sixteen billion, three hundred ninety-seven million, two hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 181 232 290 362 580 724 841 905 1160 1448 1682 1810 2693 3364 3620 4205 5249 5386 6728 7240 8410 10498 10772 13465 16820 20996 21544 26245 26930 33640 41992 52490 53860 78097 104980 107720 152221 156194 209960 304442 312388 390485 487433 608884 624776 761105 780970 974866 1217768 1522210 1561940 1949732 2264813 2437165 3044420 3123880 3899464 4529626 4874330 6088840 9059252 9748660 11324065 14135557 18118504 19497320 22648130 28271114 45296260 56542228 70677785 90592520 113084456 141355570 282711140 409931153 565422280 819862306 1639724612 2049655765 3279449224 4099311530 8198623060 16397246120