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3454051356217 = 71131921026941
BaseRepresentation
bin110010010000110101100…
…000010000111000111001
3110020012111210000001000001
4302100311200100320321
5423042344121344332
611202434055513001
7504355420051030
oct62206540207071
913205453001001
103454051356217
111111944a42000
12479502988761
131c093c371157
14bd2698ab717
155ecab4ee0e7
hex32435810e39

3454051356217 has 48 divisors (see below), whose sum is σ = 4582494532224. Its totient is φ = 2549809864800.

The previous prime is 3454051356169. The next prime is 3454051356227. The reversal of 3454051356217 is 7126531504543.

It is a de Polignac number, because none of the positive numbers 2k-3454051356217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3454051356227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849967 + ... + 3876907.

It is an arithmetic number, because the mean of its divisors is an integer number (95468636088).

Almost surely, 23454051356217 is an apocalyptic number.

It is an amenable number.

3454051356217 is a deficient number, since it is larger than the sum of its proper divisors (1128443176007).

3454051356217 is a wasteful number, since it uses less digits than its factorization.

3454051356217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027019 (or 1026978 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 3454051356217 in words is "three trillion, four hundred fifty-four billion, fifty-one million, three hundred fifty-six thousand, two hundred seventeen".

Divisors: 1 7 11 19 77 121 133 209 361 847 1331 1463 2299 2527 3971 9317 16093 25289 27797 43681 177023 305767 480491 1026941 3363437 7188587 11296351 19511879 79074457 124259861 136583153 214630669 370725701 869819027 1366858471 1502414683 2360937359 2595079907 4077982711 9568009297 16526561513 25970310949 28545878977 44857809821 181792176643 314004668747 493435908031 3454051356217