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16304634461056 = 2717103181401917
BaseRepresentation
bin1110110101000011011111…
…1100011111101110000000
32010201201010000020211212111
43231100313330133232000
54114113342410223211
654402125021505104
73301654020142324
oct355206774375600
963651100224774
1016304634461056
115216836101977
1219b3b45112194
1391369c50b866
1440521176b984
151d41c3388421
hexed437f1fb80

16304634461056 has 128 divisors (see below), whose sum is σ = 34918442919360. Its totient is φ = 7556278026240.

The previous prime is 16304634461047. The next prime is 16304634461077. The reversal of 16304634461056 is 65016443640361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×163046344610562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40366210 + ... + 40768126.

Almost surely, 216304634461056 is an apocalyptic number.

16304634461056 is a gapful number since it is divisible by the number (16) 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 16304634461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459221459680).

16304634461056 is an abundant number, since it is smaller than the sum of its proper divisors (18613808458304).

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

16304634461056 is a wasteful number, since it uses less digits than its factorization.

16304634461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402232 (or 402220 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 16304634461056 in words is "sixteen trillion, three hundred four billion, six hundred thirty-four million, four hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 128 136 181 206 272 362 412 544 724 824 1088 1448 1648 1751 2176 2896 3077 3296 3502 5792 6154 6592 7004 11584 12308 13184 14008 18643 23168 24616 28016 37286 49232 56032 74572 98464 112064 149144 196928 224128 298288 316931 393856 401917 596576 633862 803834 1193152 1267724 1607668 2386304 2535448 3215336 5070896 6430672 6832589 10141792 12861344 13665178 20283584 25722688 27330356 40567168 41397451 51445376 54660712 72746977 82794902 109321424 145493954 165589804 218642848 290987908 331179608 437285696 581975816 662359216 703756667 874571392 1163951632 1236698609 1324718432 1407513334 2327903264 2473397218 2649436864 2815026668 4655806528 4946794436 5298873728 5630053336 7492938631 9311613056 9893588872 11260106672 14985877262 19787177744 22520213344 29971754524 39574355488 45040426688 59943509048 79148710976 90080853376 119887018096 127379956727 158297421952 239774036192 254759913454 479548072384 509519826908 959096144768 1019039653816 2038079307632 4076158615264 8152317230528 16304634461056