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7129889217 = 331141214281
BaseRepresentation
bin1101010001111100…
…10111100111000001
3200101220010220022000
412220332113213001
5104100222423332
63135254134213
7341454026013
oct65076274701
920356126260
107129889217
113029700330
12146b951369
138981b3179
144b8ccc1b3
152bae24b7c
hex1a8f979c1

7129889217 has 48 divisors (see below), whose sum is σ = 11811785280. Its totient is φ = 4215456000.

The previous prime is 7129889201. The next prime is 7129889227.

7129889217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7129889217 - 24 = 7129889201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7129889227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492117 + ... + 506397.

It is an arithmetic number, because the mean of its divisors is an integer number (246078860).

Almost surely, 27129889217 is an apocalyptic number.

It is an amenable number.

7129889217 is a deficient number, since it is larger than the sum of its proper divisors (4681896063).

7129889217 is a wasteful number, since it uses less digits than its factorization.

7129889217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14383 (or 14336 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 7129889217 is about 84438.6713360650. The cubic root of 7129889217 is about 1924.6906090273.

The spelling of 7129889217 in words is "seven billion, one hundred twenty-nine million, eight hundred eighty-nine thousand, two hundred seventeen".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 1681 4059 5043 12177 14281 15129 18491 42843 45387 55473 128529 157091 166419 385587 471273 499257 585521 1413819 1756563 4241457 5269689 6440731 15809067 19322193 24006361 57966579 72019083 173899737 216057249 264069971 648171747 792209913 2376629739 7129889217