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5446155254100 = 22352114193938783
BaseRepresentation
bin100111101000000100000…
…1001100011100101010100
3201021122110220221100011120
41033100020021203211110
51203212211221112400
615325532412003540
71101320542564161
oct117201011434524
921248426840146
105446155254100
11180a779729460
1273b6024605b0
13306754a6c142
1414b8497bb068
1596a011a5ca0
hex4f408263954

5446155254100 has 144 divisors (see below), whose sum is σ = 17231077140480. Its totient is φ = 1317128700800.

The previous prime is 5446155253943. The next prime is 5446155254101. The reversal of 5446155254100 is 14525516445.

It is a happy number.

It is a super-2 number, since 2×54461552541002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5446155254101) by changing a digit.

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, 586692 + ... + 3352091.

It is an arithmetic number, because the mean of its divisors is an integer number (119660257920).

Almost surely, 25446155254100 is an apocalyptic number.

5446155254100 is a gapful number since it is divisible by the number (50) 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 5446155254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615538570240).

5446155254100 is an abundant number, since it is smaller than the sum of its proper divisors (11784921886380).

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

5446155254100 is a wasteful number, since it uses less digits than its factorization.

5446155254100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939230 (or 3939223 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

It can be divided in two parts, 544615 and 5254100, that added together give a triangular number (5798715 = T3405).

The spelling of 5446155254100 in words is "five trillion, four hundred forty-six billion, one hundred fifty-five million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 419 550 660 825 838 1100 1257 1650 1676 2095 2514 3300 4190 4609 5028 6285 8380 9218 10475 12570 13827 18436 20950 23045 25140 27654 31425 41900 46090 55308 62850 69135 92180 115225 125700 138270 230450 276540 345675 460900 691350 1382700 3938783 7877566 11816349 15755132 19693915 23632698 39387830 43326613 47265396 59081745 78775660 86653226 98469575 118163490 129979839 173306452 196939150 216633065 236326980 259959678 295408725 393878300 433266130 519919356 590817450 649899195 866532260 1083165325 1181634900 1299798390 1650350077 2166330650 2599596780 3249495975 3300700154 4332661300 4951050231 6498991950 6601400308 8251750385 9902100462 12997983900 16503500770 18153850847 19804200924 24755251155 33007001540 36307701694 41258751925 49510502310 54461552541 72615403388 82517503850 90769254235 99021004620 108923105082 123776255775 165035007700 181538508470 217846210164 247552511550 272307762705 363077016940 453846271175 495105023100 544615525410 907692542350 1089231050820 1361538813525 1815385084700 2723077627050 5446155254100