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16945386768 = 2432472503751
BaseRepresentation
bin11111100100000011…
…00001010100010000
31121201221201211122100
433302001201110100
5234201004334033
611441250240400
71136631260652
oct176201412420
947657654570
1016945386768
117206257982
12334ab86100
1317a08b129b
14b6a7446d2
156929da513
hex3f2061510

16945386768 has 60 divisors (see below), whose sum is σ = 48432578688. Its totient is φ = 5528280000.

The previous prime is 16945386763. The next prime is 16945386817. The reversal of 16945386768 is 86768354961.

16945386768 is a `hidden beast` number, since 1 + 6 + 94 + 538 + 6 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×169453867682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16945386761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1245108 + ... + 1258643.

Almost surely, 216945386768 is an apocalyptic number.

16945386768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16945386768 is an abundant number, since it is smaller than the sum of its proper divisors (31487191920).

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

16945386768 is a wasteful number, since it uses less digits than its factorization.

16945386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503812 (or 2503803 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 16945386768 in words is "sixteen billion, nine hundred forty-five million, three hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 2503751 5007502 7511253 10015004 15022506 20030008 22533759 30045012 40060016 45067518 60090024 90135036 117676297 120180048 180270072 235352594 353028891 360540144 470705188 706057782 941410376 1059086673 1412115564 1882820752 2118173346 2824231128 4236346692 5648462256 8472693384 16945386768