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545401331541 = 321121941738807
BaseRepresentation
bin1111110111111000111…
…00111101111101010101
31221010202221211022200100
413323330130331331111
532413440220102131
61054315351204313
754255360553413
oct7737434757525
91833687738610
10545401331541
111a0337918900
1289851976699
133c57b2485b1
141c57ccc22b3
15e2c18e97e6
hex7efc73df55

545401331541 has 144 divisors (see below), whose sum is σ = 946636629120. Its totient is φ = 301292006400.

The previous prime is 545401331513. The next prime is 545401331549. The reversal of 545401331541 is 145133104545.

545401331541 is a `hidden beast` number, since 5 + 45 + 40 + 1 + 3 + 31 + 541 = 666.

It is not a de Polignac number, because 545401331541 - 213 = 545401323349 is a prime.

It is a super-2 number, since 2×5454013315412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 545401331496 and 545401331505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545401331549) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61923760 + ... + 61932566.

It is an arithmetic number, because the mean of its divisors is an integer number (6573865480).

Almost surely, 2545401331541 is an apocalyptic number.

It is an amenable number.

545401331541 is a deficient number, since it is larger than the sum of its proper divisors (401235297579).

545401331541 is a wasteful number, since it uses less digits than its factorization.

545401331541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 545401331541 in words is "five hundred forty-five billion, four hundred one million, three hundred thirty-one thousand, five hundred forty-one".

Divisors: 1 3 9 11 19 33 41 57 73 99 121 123 171 209 219 363 369 451 627 657 779 803 1089 1353 1387 1881 2299 2337 2409 2993 4059 4161 4961 6897 7011 7227 8569 8807 8833 8979 12483 14883 15257 20691 25707 26421 26499 26937 32923 44649 45771 56867 77121 79263 79497 94259 96877 98769 137313 167333 167827 170601 282777 290631 296307 361087 362153 501999 503481 511803 625537 642911 848331 871893 1065647 1083261 1086459 1505997 1510443 1840663 1876611 1928733 3196941 3249783 3259377 3971957 5521989 5629833 5786199 6860653 6880907 7072021 9590823 11915871 12215309 16565967 20247293 20581959 20642721 21216063 26359351 35747613 36645927 43691527 60741879 61745877 61928163 63648189 75467183 77792231 79078053 109937781 131074581 134368399 182225637 226401549 233376693 237234159 289952861 393223743 403105197 500827669 679204647 700130079 830139013 869858583 1209315591 1478052389 1502483007 2490417039 2609575749 3189481471 4434157167 4507449021 5509104359 7471251117 9568444413 13302471501 16527313077 28705333239 49581939231 60600147949 181800443847 545401331541