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545223302325 = 3252134126916901
BaseRepresentation
bin1111110111100011101…
…01110101110010110101
31221010022112211111111200
413323301311311302311
532413104131133300
61054245551323113
754251066413662
oct7736165656265
91833275744450
10545223302325
111a0256381919
1289802220499
133c5503b4770
141c5633bca69
15e2b0e80200
hex7ef1d75cb5

545223302325 has 144 divisors (see below), whose sum is σ = 1081394692560. Its totient is φ = 260881920000.

The previous prime is 545223302321. The next prime is 545223302359. The reversal of 545223302325 is 523203322545.

545223302325 is a `hidden beast` number, since 5 + 4 + 5 + 2 + 23 + 302 + 325 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 501187538916 + 44035763409 = 707946^2 + 209847^2 .

It is not a de Polignac number, because 545223302325 - 22 = 545223302321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 545223302325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545223302321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32251375 + ... + 32268275.

It is an arithmetic number, because the mean of its divisors is an integer number (7509685365).

Almost surely, 2545223302325 is an apocalyptic number.

It is an amenable number.

545223302325 is a deficient number, since it is larger than the sum of its proper divisors (536171390235).

545223302325 is a wasteful number, since it uses less digits than its factorization.

545223302325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17240 (or 17232 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 545223302325 in words is "five hundred forty-five billion, two hundred twenty-three million, three hundred two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 195 205 225 269 325 369 533 585 615 807 975 1025 1345 1599 1845 2421 2665 2925 3075 3497 4035 4797 6725 7995 9225 10491 11029 12105 13325 16901 17485 20175 23985 31473 33087 39975 50703 52455 55145 60525 84505 87425 99261 119925 143377 152109 157365 165435 219713 253515 262275 275725 422525 430131 496305 659139 692941 716885 760545 786825 827175 1098565 1267575 1290393 1977417 2078823 2150655 2481525 3295695 3464705 3584425 3802725 4546369 5492825 6236469 6451965 9008233 9887085 10394115 10753275 13639107 16478475 17323525 22731845 27024699 31182345 32259825 40917321 45041165 49435425 51970575 59102797 68195535 81074097 113659225 135123495 155911725 177308391 186401129 204586605 225205825 295513985 340977675 405370485 531925173 559203387 675617475 886541955 932005645 1022933025 1477569925 1677610161 2026852425 2423214677 2659625865 2796016935 4432709775 4660028225 7269644031 8388050805 12116073385 13298129325 13980084675 21808932093 36348220155 41940254025 60580366925 109044660465 181741100775 545223302325