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854480233161 = 3427123792
BaseRepresentation
bin11000110111100101111…
…11011010001011001001
310000200120012022100010000
430123302333122023021
5102444433414430121
61452313124513213
7115506550100022
oct14336277321311
93020505270100
10854480233161
112aa4238a7285
1211972b84b809
1362766c91929
142d4ddad7c49
151736116d526
hexc6f2fda2c9

854480233161 has 45 divisors (see below), whose sum is σ = 1284562616733. Its totient is φ = 566053949160.

The previous prime is 854480233133. The next prime is 854480233199. The reversal of 854480233161 is 161332084458.

The square root of 854480233161 is 924381.

It is a perfect power (a square), and thus also a powerful number.

854480233161 is a `hidden beast` number, since 8 + 5 + 4 + 480 + 2 + 3 + 3 + 161 = 666.

It is a de Polignac number, because none of the positive numbers 2k-854480233161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (854480233121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2254565070 + ... + 2254565448.

Almost surely, 2854480233161 is an apocalyptic number.

854480233161 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

854480233161 is the 924381-st square number.

854480233161 is the 462191-st centered octagonal number.

It is an amenable number.

854480233161 is a deficient number, since it is larger than the sum of its proper divisors (430082383572).

854480233161 is an frugal number, since it uses more digits than its factorization.

854480233161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 854480233161 in words is "eight hundred fifty-four billion, four hundred eighty million, two hundred thirty-three thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 271 379 813 1137 2439 3411 7317 10233 21951 30699 73441 102709 143641 220323 308127 430923 660969 924381 1292769 1982907 2773143 3878307 5948721 8319429 11634921 27834139 38926711 83502417 116780133 250507251 350340399 751521753 1051021197 2254565259 3153063591 10549138681 31647416043 94942248129 284826744387 854480233161