Search a number
-
+
34771511745872 = 24111627121429261
BaseRepresentation
bin1111110011111110111111…
…00110110001110101010000
311120010010100102211221111122
413321333133212301311100
514024144024001331442
6201541451215301412
710216105322134016
oct771773746616520
9146103312757448
1034771511745872
1110096573986440
123a96b50b1a868
131652c2a094935
14882d432c68b6
15404748016dd2
hex1f9fdf9b1d50

34771511745872 has 40 divisors (see below), whose sum is σ = 73539503935392. Its totient is φ = 15795518140800.

The previous prime is 34771511745871. The next prime is 34771511745917. The reversal of 34771511745872 is 27854711517743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34771511745871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60428279 + ... + 61000982.

Almost surely, 234771511745872 is an apocalyptic number.

It is an amenable number.

34771511745872 is an abundant number, since it is smaller than the sum of its proper divisors (38767992189520).

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

34771511745872 is a wasteful number, since it uses less digits than its factorization.

34771511745872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121430907 (or 121430901 counting only the distinct ones).

The product of its digits is 46099200, while the sum is 62.

The spelling of 34771511745872 in words is "thirty-four trillion, seven hundred seventy-one billion, five hundred eleven million, seven hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1627 3254 6508 13016 17897 26032 35794 71588 143176 286352 121429261 242858522 485717044 971434088 1335721871 1942868176 2671443742 5342887484 10685774968 21371549936 197565407647 395130815294 790261630588 1580523261176 2173219484117 3161046522352 4346438968234 8692877936468 17385755872936 34771511745872