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12667164345 = 345114760497
BaseRepresentation
bin10111100110000010…
…11001011010111001
31012200210111121210000
423303001121122321
5201420243224340
65452541143213
7625622056203
oct136301313271
935623447700
1012667164345
115410314070
12255625ab09
13126b448324
14882489773
154e2108d30
hex2f30596b9

12667164345 has 80 divisors (see below), whose sum is σ = 25298811648. Its totient is φ = 6010882560.

The previous prime is 12667164343. The next prime is 12667164403. The reversal of 12667164345 is 54346176621.

It is not a de Polignac number, because 12667164345 - 21 = 12667164343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12667164345.

It is not an unprimeable number, because it can be changed into a prime (12667164343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179137 + ... + 239633.

Almost surely, 212667164345 is an apocalyptic number.

12667164345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12667164345 is a deficient number, since it is larger than the sum of its proper divisors (12631647303).

12667164345 is a wasteful number, since it uses less digits than its factorization.

12667164345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60572 (or 60563 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12667164345 in words is "twelve billion, six hundred sixty-seven million, one hundred sixty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 81 99 135 141 165 235 297 405 423 495 517 705 891 1269 1485 1551 2115 2585 3807 4455 4653 6345 7755 13959 19035 23265 41877 60497 69795 181491 209385 302485 544473 665467 907455 1633419 1996401 2722365 2843359 3327335 4900257 5989203 8167095 8530077 9982005 14216795 17967609 24501285 25590231 29946015 31276949 42650385 53902827 76770693 89838045 93830847 127951155 156384745 230312079 269514135 281492541 383853465 469154235 844477623 1151560395 1407462705 2533432869 4222388115 12667164345