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75490310025 = 325213214092
BaseRepresentation
bin100011001001110010…
…0101011011110001001
321012212001100002100100
41012103210223132021
52214101004410100
654402455200013
75311502022264
oct1062344533611
9235761302310
1075490310025
112a019348279
1212769676009
137170a47900
143921c69cdb
151e6c619400
hex119392b789

75490310025 has 81 divisors (see below), whose sum is σ = 146516474559. Its totient is φ = 37138083840.

The previous prime is 75490310017. The next prime is 75490310029. The reversal of 75490310025 is 52001309457.

The square root of 75490310025 is 274755.

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

75490310025 is a `hidden beast` number, since 7 + 549 + 0 + 3 + 100 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 62971385481 + 12518924544 = 250941^2 + 111888^2 .

It is not a de Polignac number, because 75490310025 - 23 = 75490310017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75490310029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53576521 + ... + 53577929.

Almost surely, 275490310025 is an apocalyptic number.

75490310025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75490310025 is the 274755-th square number.

75490310025 is the 137378-th centered octagonal number.

It is an amenable number.

75490310025 is a deficient number, since it is larger than the sum of its proper divisors (71026164534).

75490310025 is a wasteful number, since it uses less digits than its factorization.

75490310025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 75490310025 by its sum of digits (36), we get a square (2717651160900 = 16485302).

The spelling of 75490310025 in words is "seventy-five billion, four hundred ninety million, three hundred ten thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1409 1521 2535 2925 4225 4227 7045 7605 12675 12681 18317 21135 35225 38025 54951 63405 91585 105675 164853 238121 274755 317025 457925 714363 824265 1190605 1373775 1985281 2143089 3571815 4121325 5953025 5955843 9926405 10715445 17859075 17867529 25808653 29779215 49632025 53577225 77425959 89337645 129043265 148896075 232277877 335512489 387129795 446688225 645216325 1006537467 1161389385 1677562445 1935648975 3019612401 5032687335 5806946925 8387812225 15098062005 25163436675 75490310025