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4533442101396 = 223213171114951109
BaseRepresentation
bin100000111111000011000…
…1101001100000010010100
3121001101121101010011222200
41001332012031030002110
51043233442134221041
613350345021324500
7645346631025405
oct101760615140224
917041541104880
104533442101396
11149869297489a
12612740706730
1326b66a485590
141195c3bb79ac
157cdd29d91b6
hex41f8634c094

4533442101396 has 144 divisors (see below), whose sum is σ = 13068407898000. Its totient is φ = 1312708571136.

The previous prime is 4533442101361. The next prime is 4533442101407. The reversal of 4533442101396 is 6931012443354.

4533442101396 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 44 + 210 + 1 + 396 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97321537296 + 4436120564100 = 311964^2 + 2106210^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88675890 + ... + 88726998.

It is an arithmetic number, because the mean of its divisors is an integer number (90752832625).

Almost surely, 24533442101396 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 4533442101396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534203949000).

4533442101396 is an abundant number, since it is smaller than the sum of its proper divisors (8534965796604).

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

4533442101396 is a wasteful number, since it uses less digits than its factorization.

4533442101396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62298 (or 62293 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4533442101396 in words is "four trillion, five hundred thirty-three billion, four hundred forty-two million, one hundred one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 11149 22298 33447 44596 51109 66894 100341 102218 133788 144937 153327 189533 200682 204436 289874 306654 379066 401364 434811 459981 568599 579748 613308 664417 758132 868853 869622 919962 1137198 1304433 1328834 1705797 1737706 1739244 1839924 1993251 2274396 2463929 2606559 2608866 2657668 3411594 3475412 3986502 4927858 5213118 5217732 5979753 6823188 7391787 7819677 7973004 9855716 10426236 11295089 11959506 14783574 15639354 22175361 22590178 23919012 29567148 31278708 33885267 44350722 45180356 67770534 88701444 101655801 135541068 203311602 406623204 569814241 1139628482 1709442723 2279256964 3418885446 5128328169 6837770892 7407585133 9686842097 10256656338 14815170266 19373684194 20513312676 22222755399 29060526291 29630340532 38747368388 44445510798 58121052582 66668266197 87181578873 88891021596 116242105164 125928947261 133336532394 174363157746 251857894522 266673064788 348726315492 377786841783 503715789044 755573683566 1133360525349 1511147367132 2266721050698 4533442101396