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245285040530736 = 24336472657330287
BaseRepresentation
bin110111110001010111011111…
…101101011010010100110000
31012011111000120012201110002000
4313301113133231122110300
5224122222230333440421
62225402220402054000
7102444154651565133
oct6761273755322460
91164430505643060
10245285040530736
117117888a8a2538
1223615a7394a300
13a6b338442172b
14447dc05d1421a
151d556606d1226
hexdf15dfb5a530

245285040530736 has 160 divisors (see below), whose sum is σ = 705414630574080. Its totient is φ = 81604338038784.

The previous prime is 245285040530701. The next prime is 245285040530743. The reversal of 245285040530736 is 637035040582542.

245285040530736 is a `hidden beast` number, since 2 + 4 + 5 + 28 + 50 + 4 + 0 + 530 + 7 + 36 = 666.

It is a super-2 number, since 2×2452850405307362 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742476985 + ... + 742807271.

It is an arithmetic number, because the mean of its divisors is an integer number (4408841441088).

Almost surely, 2245285040530736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245285040530736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352707315287040).

245285040530736 is an abundant number, since it is smaller than the sum of its proper divisors (460129590043344).

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

245285040530736 is a wasteful number, since it uses less digits than its factorization.

245285040530736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333608 (or 333596 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 245285040530736 in words is "two hundred forty-five trillion, two hundred eighty-five billion, forty million, five hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 647 1294 1941 2588 2657 3882 5176 5314 5823 7764 7971 10352 10628 11646 15528 15942 17469 21256 23292 23913 31056 31884 34938 42512 46584 47826 63768 69876 71739 93168 95652 127536 139752 143478 191304 279504 286956 330287 382608 573912 660574 990861 1147824 1321148 1719079 1981722 2642296 2972583 3438158 3963444 5157237 5284592 5945166 6876316 7926888 8917749 10314474 11890332 13752632 15471711 15853776 17835498 20628948 23780664 27505264 30943422 35670996 41257896 46415133 47561328 61886844 71341992 82515792 92830266 123773688 142683984 185660532 213695689 247547376 371321064 427391378 641087067 742642128 854782756 877572559 1282174134 1709565512 1755145118 1923261201 2564348268 2632717677 3419131024 3510290236 3846522402 5128696536 5265435354 5769783603 7020580472 7693044804 7898153031 10257393072 10530870708 11539567206 14041160944 15386089608 15796306062 21061741416 23079134412 23694459093 30772179216 31592612124 42123482832 46158268824 47388918186 63185224248 92316537648 94777836372 126370448496 189555672744 379111345488 567789445673 1135578891346 1703368337019 2271157782692 3406736674038 4542315565384 5110105011057 6813473348076 9084631130768 10220210022114 13626946696152 15330315033171 20440420044228 27253893392304 30660630066342 40880840088456 61321260132684 81761680176912 122642520265368 245285040530736