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13674737034 = 2357411719
BaseRepresentation
bin11001011110001001…
…11110110110001010
31022022000102121200000
430233010332312022
5211001213041114
610140533023430
7662605230000
oct145704766612
938260377600
1013674737034
11588803a372
122797784b76
13139c10729a
1493a208a70
155507d3e09
hex32f13ed8a

13674737034 has 120 divisors (see below), whose sum is σ = 35847870240. Its totient is φ = 3906734328.

The previous prime is 13674737033. The next prime is 13674737077. The reversal of 13674737034 is 43073747631.

It is a super-2 number, since 2×136747370342 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13674737033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1161027 + ... + 1172745.

It is an arithmetic number, because the mean of its divisors is an integer number (298732252).

Almost surely, 213674737034 is an apocalyptic number.

13674737034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13674737034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923935120).

13674737034 is an abundant number, since it is smaller than the sum of its proper divisors (22173133206).

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

13674737034 is an frugal number, since it uses more digits than its factorization.

13674737034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11764 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 13674737034 in words is "thirteen billion, six hundred seventy-four million, seven hundred thirty-seven thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 343 378 441 486 567 686 882 1029 1134 1323 1701 2058 2401 2646 3087 3402 3969 4802 6174 7203 7938 9261 11719 11907 14406 18522 21609 23438 23814 27783 35157 43218 55566 64827 70314 82033 83349 105471 129654 164066 166698 194481 210942 246099 316413 388962 492198 574231 583443 632826 738297 949239 1148462 1166886 1476594 1722693 1898478 2214891 2847717 3445386 4019617 4429782 5168079 5695434 6644673 8039234 10336158 12058851 13289346 15504237 19934019 24117702 28137319 31008474 36176553 39868038 46512711 56274638 72353106 84411957 93025422 108529659 139538133 168823914 217059318 253235871 279076266 325588977 506471742 651177954 759707613 976766931 1519415226 1953533862 2279122839 4558245678 6837368517 13674737034