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445266231645056 = 27192363112615341
BaseRepresentation
bin110010100111101111001111…
…1100100010101001110000000
32011101120000222021010010001212
41211033132133210111032000
5431330220220300120211
64215000252151545252
7162534265210265363
oct14517363744251600
92141500867103055
10445266231645056
1111996a391773668
1241b336b408b228
131615b56ba08853
147bd500190c0da
1536725e338738b
hex194f79f915380

445266231645056 has 128 divisors (see below), whose sum is σ = 975882488025600. Its totient is φ = 201425601484800.

The previous prime is 445266231645031. The next prime is 445266231645061. The reversal of 445266231645056 is 650546132662544.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 445266231644986 and 445266231645004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28987946 + ... + 41603286.

It is an arithmetic number, because the mean of its divisors is an integer number (7624081937700).

Almost surely, 2445266231645056 is an apocalyptic number.

445266231645056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445266231645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487941244012800).

445266231645056 is an abundant number, since it is smaller than the sum of its proper divisors (530616256380544).

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

445266231645056 is a wasteful number, since it uses less digits than its factorization.

445266231645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616028 (or 12616016 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 59.

The spelling of 445266231645056 in words is "four hundred forty-five trillion, two hundred sixty-six billion, two hundred thirty-one million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 631 736 874 1216 1262 1472 1748 2432 2524 2944 3496 5048 6992 10096 11989 13984 14513 20192 23978 27968 29026 40384 47956 55936 58052 80768 95912 116104 191824 232208 275747 383648 464416 551494 767296 928832 1102988 1534592 1857664 2205976 4411952 8823904 12615341 17647808 25230682 35295616 50461364 100922728 201845456 239691479 290152843 403690912 479382958 580305686 807381824 958765916 1160611372 1614763648 1917531832 2321222744 3835063664 4642445488 5512904017 7670127328 7960280171 9284890976 11025808034 15340254656 15920560342 18569781952 22051616068 30680509312 31841120684 37139563904 44103232136 63682241368 88206464272 127364482736 151245323249 176412928544 183086443933 254728965472 302490646498 352825857088 366172887866 509457930944 604981292996 705651714176 732345775732 1018915861888 1209962585992 1464691551464 2419925171984 2929383102928 3478642434727 4839850343968 5858766205856 6957284869454 9679700687936 11717532411712 13914569738908 19359401375872 23435064823424 27829139477816 55658278955632 111316557911264 222633115822528 445266231645056