Search a number
-
+
34545251101452 = 223713181174778151
BaseRepresentation
bin1111101101011001100010…
…11010111010101100001100
311112022111022221112022011020
413312230301122322230030
514011442133240221302
6201245511432354140
710163545345320330
oct766546132725414
9145274287468136
1034545251101452
1110009616721423
123a5b126845950
1316377ac303710
14875ddb6637c0
153ed9043a5ebc
hex1f6b316bab0c

34545251101452 has 96 divisors (see below), whose sum is σ = 99754979810304. Its totient is φ = 9060499296000.

The previous prime is 34545251101379. The next prime is 34545251101469. The reversal of 34545251101452 is 25410115254543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87191424 + ... + 87586727.

It is an arithmetic number, because the mean of its divisors is an integer number (1039114373024).

Almost surely, 234545251101452 is an apocalyptic number.

It is an amenable number.

34545251101452 is an abundant number, since it is smaller than the sum of its proper divisors (65209728708852).

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

34545251101452 is a wasteful number, since it uses less digits than its factorization.

34545251101452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174778359 (or 174778357 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 34545251101452 its reverse (25410115254543), we get a palindrome (59955366355995).

The spelling of 34545251101452 in words is "thirty-four trillion, five hundred forty-five billion, two hundred fifty-one million, one hundred one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 181 182 273 362 364 543 546 724 1086 1092 1267 2172 2353 2534 3801 4706 5068 7059 7602 9412 14118 15204 16471 28236 32942 49413 65884 98826 197652 174778151 349556302 524334453 699112604 1048668906 1223447057 2097337812 2272115963 2446894114 3670341171 4544231926 4893788228 6816347889 7340682342 9088463852 13632695778 14681364684 15904811741 27265391556 31634845331 31809623482 47714435223 63269690662 63619246964 94904535993 95428870446 126539381324 189809071986 190857740892 221443917317 379618143972 411252989303 442887834634 664331751951 822505978606 885775669268 1233758967909 1328663503902 1645011957212 2467517935818 2657327007804 2878770925121 4935035871636 5757541850242 8636312775363 11515083700484 17272625550726 34545251101452