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75274507044 = 223211241572
BaseRepresentation
bin100011000011010110…
…1011101001100100100
321012022000021011022100
41012012231131030210
52213130233211134
654325225532100
75303241516132
oct1060655351444
9235260234270
1075274507044
1129a18551300
1212709344030
137138119639
143901332752
151e586dc999
hex1186b5d324

75274507044 has 81 divisors (see below), whose sum is σ = 209198019121. Its totient is φ = 22804969440.

The previous prime is 75274507031. The next prime is 75274507051. The reversal of 75274507044 is 44070547257.

The square root of 75274507044 is 274362.

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

75274507044 is a `hidden beast` number, since 7 + 527 + 4 + 50 + 70 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34273116900 + 41001390144 = 185130^2 + 202488^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 18105814 + ... + 18109970.

Almost surely, 275274507044 is an apocalyptic number.

75274507044 is the 274362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75274507044

75274507044 is an abundant number, since it is smaller than the sum of its proper divisors (133923512077).

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

75274507044 is a wasteful number, since it uses less digits than its factorization.

75274507044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 75274507044 in words is "seventy-five billion, two hundred seventy-four million, five hundred seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4157 4356 8314 12471 16628 24942 37413 45727 49884 74826 91454 137181 149652 182908 274362 411543 502997 548724 823086 1005994 1508991 1646172 2011988 3017982 4526973 6035964 9053946 17280649 18107892 34561298 51841947 69122596 103683894 155525841 190087139 207367788 311051682 380174278 570261417 622103364 760348556 1140522834 1710784251 2090958529 2281045668 3421568502 4181917058 6272875587 6843137004 8363834116 12545751174 18818626761 25091502348 37637253522 75274507044