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5461111141530 = 235113245955619
BaseRepresentation
bin100111101111000001110…
…0101101111010010011010
3201100002002020002010210020
41033132003211233102122
51203433323423012110
615340444432331310
71102360265536422
oct117360345572232
921302066063706
105461111141530
111816053961000
127424970a3b36
13307c99411785
1414c467bdb482
15970c91a4d70
hex4f78396f49a

5461111141530 has 128 divisors (see below), whose sum is σ = 14422470681600. Its totient is φ = 1323343545920.

The previous prime is 5461111141513. The next prime is 5461111141543. The reversal of 5461111141530 is 351411111645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5461111141491 and 5461111141500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98160061 + ... + 98215679.

It is an arithmetic number, because the mean of its divisors is an integer number (112675552200).

Almost surely, 25461111141530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461111141530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211235340800).

5461111141530 is an abundant number, since it is smaller than the sum of its proper divisors (8961359540070).

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

5461111141530 is a wasteful number, since it uses less digits than its factorization.

5461111141530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58121 (or 58099 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 5461111141530 in words is "five trillion, four hundred sixty-one billion, one hundred eleven million, one hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1331 1815 2459 2662 3630 3993 4918 6655 7377 7986 12295 13310 14754 19965 24590 27049 36885 39930 54098 55619 73770 81147 111238 135245 162294 166857 270490 278095 297539 333714 405735 556190 595078 611809 811470 834285 892617 1223618 1487695 1668570 1785234 1835427 2975390 3059045 3272929 3670854 4463085 6118090 6545858 6729899 8926170 9177135 9818787 13459798 16364645 18354270 19637574 20189697 32729290 33649495 40379394 49093935 67298990 74028889 98187870 100948485 136767121 148057778 201896970 222086667 273534242 370144445 410301363 444173334 683835605 740288890 820602726 1110433335 1367671210 1504438331 2051506815 2220866670 3008876662 4103013630 4513314993 7522191655 9026629986 15044383310 16548821641 22566574965 33097643282 45133149930 49646464923 82744108205 99292929846 165488216410 182037038051 248232324615 364074076102 496464649230 546111114153 910185190255 1092222228306 1820370380510 2730555570765 5461111141530