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16942970688 = 26373257273
BaseRepresentation
bin11111100011110000…
…10011011101000000
31121201210012002101220
433301320103131000
5234144400030223
611441122355040
71136601606000
oct176170233500
947653162356
1016942970688
117204957716
12334a1bba80
1317a0246657
14b6a2b6000
156926ae6e3
hex3f1e13740

16942970688 has 112 divisors (see below), whose sum is σ = 52278076800. Its totient is φ = 4840829952.

The previous prime is 16942970687. The next prime is 16942970711. The reversal of 16942970688 is 88607924961.

16942970688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16942970687) 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 15 ways as a sum of consecutive naturals, for example, 62781 + ... + 194492.

Almost surely, 216942970688 is an apocalyptic number.

It is an amenable number.

16942970688 is an abundant number, since it is smaller than the sum of its proper divisors (35335106112).

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

16942970688 is an equidigital number, since it uses as much as digits as its factorization.

16942970688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257309 (or 257285 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 16942970688 in words is "sixteen billion, nine hundred forty-two million, nine hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 257273 514546 771819 1029092 1543638 1800911 2058184 3087276 3601822 4116368 5402733 6174552 7203644 8232736 10805466 12349104 12606377 14407288 16465472 21610932 24698208 25212754 28814576 37819131 43221864 49396416 50425508 57629152 75638262 86443728 88244639 100851016 115258304 151276524 172887456 176489278 201702032 264733917 302553048 345774912 352978556 403404064 529467834 605106096 705957112 806808128 1058935668 1210212192 1411914224 2117871336 2420424384 2823828448 4235742672 5647656896 8471485344 16942970688