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16487998670976 = 273753991136123
BaseRepresentation
bin1110111111101110100101…
…0011011100100010000000
32011101020101222100211112120
43233323221103130202000
54130114410124432401
655022252041124240
73321134656204530
oct357735123344200
964336358324476
1016487998670976
115287580454828
121a23599489680
13927a72127661
144100482994c0
151d8d560c9836
hexefee94dc880

16487998670976 has 128 divisors (see below), whose sum is σ = 50062167936000. Its totient is φ = 4709980075008.

The previous prime is 16487998670947. The next prime is 16487998670981. The reversal of 16487998670976 is 67907689978461.

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

It is a junction number, because it is equal to n+sod(n) for n = 16487998670892 and 16487998670901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13944451 + ... + 15080573.

It is an arithmetic number, because the mean of its divisors is an integer number (391110687000).

Almost surely, 216487998670976 is an apocalyptic number.

16487998670976 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 16487998670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031083968000).

16487998670976 is an abundant number, since it is smaller than the sum of its proper divisors (33574169265024).

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

16487998670976 is a wasteful number, since it uses less digits than its factorization.

16487998670976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141546 (or 1141534 counting only the distinct ones).

The product of its (nonzero) digits is 13826598912, while the sum is 87.

The spelling of 16487998670976 in words is "sixteen trillion, four hundred eighty-seven billion, nine hundred ninety-eight million, six hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5399 10798 16197 21596 32394 37793 43192 64788 75586 86384 113379 129576 151172 172768 226758 259152 302344 345536 453516 518304 604688 691072 907032 1036608 1136123 1209376 1814064 2073216 2272246 2418752 3408369 3628128 4544492 4837504 6816738 7256256 7952861 9088984 13633476 14512512 15905722 18177968 23858583 27266952 31811444 36355936 47717166 54533904 63622888 72711872 95434332 109067808 127245776 145423744 190868664 218135616 254491552 381737328 436271232 508983104 763474656 1017966208 1526949312 3053898624 6133928077 12267856154 18401784231 24535712308 36803568462 42937496539 49071424616 73607136924 85874993078 98142849232 128812489617 147214273848 171749986156 196285698464 257624979234 294428547696 343499972312 392571396928 515249958468 588857095392 686999944624 785142793856 1030499916936 1177714190784 1373999889248 2060999833872 2355428381568 2747999778496 4121999667744 5495999556992 8243999335488 16487998670976