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6041234745 = 345721323417
BaseRepresentation
bin1011010000001010…
…11110110100111001
3120121000122112010000
411220011132310321
544333024002440
62435244343213
7302464435200
oct55005366471
916530575100
106041234745
112620135097
121207244b09
137537a5620
144144a4237
15255580730
hex16815ed39

6041234745 has 120 divisors (see below), whose sum is σ = 13567171464. Its totient is φ = 2549159424.

The previous prime is 6041234743. The next prime is 6041234747. The reversal of 6041234745 is 5474321406.

6041234745 is a `hidden beast` number, since 60 + 4 + 123 + 474 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (6041234743) and next prime (6041234747).

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 5994940329 = 6804^2 + 77427^2 .

It is not a de Polignac number, because 6041234745 - 21 = 6041234743 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6041234741) 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 119 ways as a sum of consecutive naturals, for example, 246277 + ... + 269693.

Almost surely, 26041234745 is an apocalyptic number.

6041234745 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6041234745 is an abundant number, since it is smaller than the sum of its proper divisors (7525936719).

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

6041234745 is a wasteful number, since it uses less digits than its factorization.

6041234745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23461 (or 23445 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6041234745 is about 77725.3803142834. The cubic root of 6041234745 is about 1821.2737877763.

The spelling of 6041234745 in words is "six billion, forty-one million, two hundred thirty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 189 195 245 273 315 351 405 441 455 567 585 637 735 819 945 1053 1323 1365 1755 1911 2205 2457 2835 3185 3969 4095 5265 5733 6615 7371 9555 12285 17199 19845 23417 28665 36855 51597 70251 85995 117085 163919 210753 257985 304421 351255 491757 632259 819595 913263 1053765 1147433 1475271 1522105 1896777 2130947 2458785 2739789 3161295 3442299 4425813 4566315 5737165 6392841 7376355 8219367 9483885 10326897 10654735 13277439 13698945 14916629 17211495 19178523 22129065 24658101 30980691 31964205 41096835 44749887 51634485 57535569 66387195 74583145 92942073 95892615 123290505 134249661 154903455 172606707 223749435 287677845 402748983 464710365 671248305 863033535 1208246949 2013744915 6041234745