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16740566676 = 22333734712073
BaseRepresentation
bin11111001011101000…
…01100011010010100
31121012200022220022000
433211310030122110
5233241041113201
611405052235300
71131563316561
oct174564143224
947180286260
1016740566676
117110682579
1232b246bb30
13176a32a072
14b4b469868
1567ea2cd86
hex3e5d0c694

16740566676 has 96 divisors (see below), whose sum is σ = 44706641280. Its totient is φ = 5413277952.

The previous prime is 16740566671. The next prime is 16740566693. The reversal of 16740566676 is 67666504761.

It is a happy number.

16740566676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16740566671) 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 31 ways as a sum of consecutive naturals, for example, 1380576 + ... + 1392648.

It is an arithmetic number, because the mean of its divisors is an integer number (465694180).

Almost surely, 216740566676 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 16740566676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353320640).

16740566676 is an abundant number, since it is smaller than the sum of its proper divisors (27966074604).

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

16740566676 is a wasteful number, since it uses less digits than its factorization.

16740566676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 16740566676 in words is "sixteen billion, seven hundred forty million, five hundred sixty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 347 444 666 694 999 1041 1332 1388 1998 2082 3123 3996 4164 6246 9369 12073 12492 12839 18738 24146 25678 36219 37476 38517 48292 51356 72438 77034 108657 115551 144876 154068 217314 231102 325971 346653 434628 446701 462204 651942 693306 893402 1303884 1340103 1386612 1786804 2680206 4020309 4189331 5360412 8040618 8378662 12060927 12567993 16081236 16757324 24121854 25135986 37703979 48243708 50271972 75407958 113111937 150815916 155005247 226223874 310010494 452447748 465015741 620020988 930031482 1395047223 1860062964 2790094446 4185141669 5580188892 8370283338 16740566676