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52461844816425 = 35211283653106661
BaseRepresentation
bin10111110110110101110011…
…00111111110001000101001
320212202022012011111200020020
423323122321213332020221
523334013324233111200
6303324345551351053
714023146264200352
oct1373327147761051
9225668164450206
1052461844816425
1115796a417a3200
125a73559822489
1323371913047c5
14cd5249b30d29
1560e9bdbe5ea0
hex2fb6b99fe229

52461844816425 has 144 divisors (see below), whose sum is σ = 96636253258944. Its totient is φ = 25090869056000.

The previous prime is 52461844816411. The next prime is 52461844816427.

52461844816425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52461844816425 - 211 = 52461844814377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52461844816427) 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, 491802595 + ... + 491909255.

It is an arithmetic number, because the mean of its divisors is an integer number (671085092076).

Almost surely, 252461844816425 is an apocalyptic number.

52461844816425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52461844816425 is a deficient number, since it is larger than the sum of its proper divisors (44174408442519).

52461844816425 is a wasteful number, since it uses less digits than its factorization.

52461844816425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107432 (or 107416 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 52461844816425 in words is "fifty-two trillion, four hundred sixty-one billion, eight hundred forty-four million, eight hundred sixteen thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 83 121 165 249 275 363 415 605 653 825 913 1245 1815 1959 2075 2739 3025 3265 4565 6225 7183 9075 9795 10043 13695 16325 21549 22825 30129 35915 48975 50215 54199 68475 79013 106661 107745 150645 162597 179575 237039 251075 270995 319983 395065 533305 538725 596189 753225 812985 1173271 1185195 1354975 1599915 1788567 1975325 2666525 2980945 3519813 4064925 5866355 5925975 6558079 7999575 8852863 8942835 12905981 14904725 17599065 19674237 26558589 29331775 32790395 38717943 44264315 44714175 64529905 69649633 87995325 97381493 98371185 132792945 163951975 193589715 208948899 221321575 292144479 322649525 348248165 486907465 491855925 663964725 766145963 967948575 1044744495 1071196423 1460722395 1741240825 2298437889 2434537325 3213589269 3830729815 5223722475 5355982115 5780919539 7303611975 8427605593 11492189445 16067946345 17342758617 19153649075 25282816779 26779910575 28904597695 42138027965 57460947225 63590114929 80339731725 86713793085 126414083895 144522988475 190770344787 210690139825 317950574645 433568965425 632070419475 699491264219 953851723935 1589752873225 2098473792657 3497456321095 4769258619675 10492368963285 17487281605475 52461844816425