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16401768912 = 2432177984811
BaseRepresentation
bin11110100011001111…
…10010000111010000
31120100001211012010200
433101213302013100
5232042323101122
611311310455200
71120310510154
oct172147620720
946301735120
1016401768912
116a57409821
123218b04500
131715096a09
14b18477064
1565ee085ac
hex3d19f21d0

16401768912 has 120 divisors (see below), whose sum is σ = 49218099840. Its totient is φ = 5080458240.

The previous prime is 16401768899. The next prime is 16401768913. The reversal of 16401768912 is 21986710461.

16401768912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16401768913) by changing a digit.

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, 150987 + ... + 235797.

It is an arithmetic number, because the mean of its divisors is an integer number (410150832).

Almost surely, 216401768912 is an apocalyptic number.

16401768912 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 16401768912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24609049920).

16401768912 is an abundant number, since it is smaller than the sum of its proper divisors (32816330928).

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

16401768912 is a wasteful number, since it uses less digits than its factorization.

16401768912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84921 (or 84912 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16401768912 in words is "sixteen billion, four hundred one million, seven hundred sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 79 102 136 144 153 158 204 237 272 306 316 408 474 612 632 711 816 948 1224 1264 1343 1422 1896 2448 2686 2844 3792 4029 5372 5688 8058 10744 11376 12087 16116 21488 24174 32232 48348 64464 84811 96696 169622 193392 254433 339244 508866 678488 763299 1017732 1356976 1441787 1526598 2035464 2883574 3053196 4070928 4325361 5767148 6106392 6700069 8650722 11534296 12212784 12976083 13400138 17301444 20100207 23068592 25952166 26800276 34602888 40200414 51904332 53600552 60300621 69205776 80400828 103808664 107201104 113901173 120601242 160801656 207617328 227802346 241202484 321603312 341703519 455604692 482404968 683407038 911209384 964809936 1025110557 1366814076 1822418768 2050221114 2733628152 4100442228 5467256304 8200884456 16401768912