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103743370674 = 2344119380929
BaseRepresentation
bin110000010011110010…
…1100011010110110010
3100220210001110021110000
41200213211203112302
53144431300330144
6115354204250430
710331600046426
oct1404745432662
9326701407400
10103743370674
113aaa7478979
1218133540a16
139a2420a188
145042290b86
152a72bbb769
hex18279635b2

103743370674 has 80 divisors (see below), whose sum is σ = 239368603320. Its totient is φ = 33562460160.

The previous prime is 103743370669. The next prime is 103743370721. The reversal of 103743370674 is 476073347301.

It can be written as a sum of positive squares in 4 ways, for example, as 60434847225 + 43308523449 = 245835^2 + 208107^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1241442 + ... + 1322370.

Almost surely, 2103743370674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103743370674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119684301660).

103743370674 is an abundant number, since it is smaller than the sum of its proper divisors (135625232646).

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

103743370674 is a wasteful number, since it uses less digits than its factorization.

103743370674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81177 (or 81168 counting only the distinct ones).

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

The spelling of 103743370674 in words is "one hundred three billion, seven hundred forty-three million, three hundred seventy thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 193 246 369 386 579 738 1107 1158 1737 2214 3321 3474 5211 6642 7913 10422 15633 15826 23739 31266 47478 71217 80929 142434 161858 213651 242787 427302 485574 640953 728361 1281906 1456722 2185083 3318089 4370166 6555249 6636178 9954267 13110498 15619297 19908534 29862801 31238594 46857891 59725602 89588403 93715782 140573673 179176806 268765209 281147346 421721019 537530418 640391177 843442038 1265163057 1280782354 1921173531 2530326114 3842347062 5763520593 11527041186 17290561779 34581123558 51871685337 103743370674