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16730967864 = 23313193498087
BaseRepresentation
bin11111001010011111…
…00100111100111000
31121012000021020012110
433211033210330320
5233231111432424
611404110412320
71131415610652
oct174517447470
947160236173
1016730967864
117106216876
1232ab2010a0
131768348cb0
14b4a08b6d2
1567dc83c29
hex3e53e4f38

16730967864 has 128 divisors (see below), whose sum is σ = 47557440000. Its totient is φ = 4862467584.

The previous prime is 16730967863. The next prime is 16730967917. The reversal of 16730967864 is 46876903761.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16730967863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064829 + ... + 2072915.

It is an arithmetic number, because the mean of its divisors is an integer number (371542500).

Almost surely, 216730967864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16730967864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778720000).

16730967864 is an abundant number, since it is smaller than the sum of its proper divisors (30826472136).

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

16730967864 is a wasteful number, since it uses less digits than its factorization.

16730967864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8477 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 16730967864 in words is "sixteen billion, seven hundred thirty million, nine hundred sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 349 456 494 698 741 988 1047 1396 1482 1976 2094 2792 2964 4188 4537 5928 6631 8087 8376 9074 13262 13611 16174 18148 19893 24261 26524 27222 32348 36296 39786 48522 53048 54444 64696 79572 86203 97044 105131 108888 153653 159144 172406 194088 210262 258609 307306 315393 344812 420524 460959 517218 614612 630786 689624 841048 921918 1034436 1229224 1261572 1843836 1997489 2068872 2523144 2822363 3687672 3994978 5644726 5992467 7989956 8467089 11289452 11984934 15979912 16934178 22578904 23969868 33868356 36690719 47939736 53624897 67736712 73381438 107249794 110072157 146762876 160874691 214499588 220144314 293525752 321749382 428999176 440288628 643498764 697123661 880577256 1286997528 1394247322 2091370983 2788494644 4182741966 5576989288 8365483932 16730967864