Search a number
-
+
16307744832372 = 22372533637143879
BaseRepresentation
bin1110110101001111000101…
…0101100111101101110100
32010202000010202222002012010
43231103301111213231310
54114141230134113442
654403401411524220
73302124055644300
oct355236125475564
963660122862163
1016307744832372
1152180918a7984
1219b46728b9670
13913a76a28466
144054288a4d00
151d430647eb9c
hexed4f1567b74

16307744832372 has 144 divisors (see below), whose sum is σ = 45111759960960. Its totient is φ = 4570154604288.

The previous prime is 16307744832361. The next prime is 16307744832373. The reversal of 16307744832372 is 27323844770361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16307744832373) 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, 113271529 + ... + 113415407.

It is an arithmetic number, because the mean of its divisors is an integer number (313276110840).

Almost surely, 216307744832372 is an apocalyptic number.

16307744832372 is a gapful number since it is divisible by the number (12) 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 16307744832372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555879980480).

16307744832372 is an abundant number, since it is smaller than the sum of its proper divisors (28804015128588).

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

16307744832372 is a wasteful number, since it uses less digits than its factorization.

16307744832372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147590 (or 147581 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 16307744832372 in words is "sixteen trillion, three hundred seven billion, seven hundred forty-four million, eight hundred thirty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 3637 4452 5194 7274 7791 10388 10911 14548 15582 21822 25459 31164 43644 50918 76377 101836 143879 152754 178213 192761 287758 305508 356426 385522 431637 534639 575516 578283 712852 771044 863274 1007153 1069278 1156566 1349327 1726548 2014306 2138556 2313132 2698654 3021459 4028612 4047981 5397308 6042918 7050071 7625587 8095962 9445289 12085836 14100142 15251174 16191924 18890578 21150213 22876761 28200284 28335867 30502348 37781156 42300426 45753522 53379109 56671734 84600852 91507044 106758218 113343468 160137327 213516436 320274654 373653763 523287923 640549308 747307526 1046575846 1120961289 1494615052 1569863769 2093151692 2241922578 3139727538 3663015461 4483845156 6279455076 7326030922 10989046383 14652061844 21978092766 25641108227 27734259919 43956185532 51282216454 55468519838 76923324681 83202779757 102564432908 110937039676 153846649362 166405559514 194139819433 307693298724 332811119028 388279638866 582419458299 776559277732 1164838916598 1358978736031 2329677833196 2717957472062 4076936208093 5435914944124 8153872416186 16307744832372