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67013793 = 32711259149
BaseRepresentation
bin1111111110100…
…0110010100001
311200002122122100
43333220302201
5114123420133
610352201013
71442415330
oct377506241
9150078570
1067013793
1134911500
121a539169
1310b64542
148c85d17
155d3ae13
hex3fe8ca1

67013793 has 72 divisors (see below), whose sum is σ = 124488000. Its totient is φ = 33992640.

The previous prime is 67013777. The next prime is 67013797. The reversal of 67013793 is 39731076.

It is not a de Polignac number, because 67013793 - 24 = 67013777 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67013797) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 449683 + ... + 449831.

It is an arithmetic number, because the mean of its divisors is an integer number (1729000).

Almost surely, 267013793 is an apocalyptic number.

67013793 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67013793 is a deficient number, since it is larger than the sum of its proper divisors (57474207).

67013793 is a wasteful number, since it uses less digits than its factorization.

67013793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 67013793 is about 8186.1952700873. The cubic root of 67013793 is about 406.1826792431.

The spelling of 67013793 in words is "sixty-seven million, thirteen thousand, seven hundred ninety-three".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 121 149 177 231 363 413 447 531 649 693 847 1043 1089 1239 1341 1639 1947 2541 3129 3717 4543 4917 5841 7139 7623 8791 9387 11473 13629 14751 18029 21417 26373 34419 40887 49973 54087 61537 64251 79119 96701 103257 126203 149919 162261 184611 290103 378609 449757 553833 676907 870309 1063711 1135827 2030721 3191133 6092163 7445977 9573399 22337931 67013793