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542406061446 = 231573591603907
BaseRepresentation
bin1111110010010011110…
…10111010110110000110
31220212001012200211112220
413321021322322312012
532341321422431241
61053102232153210
754121220310504
oct7711172726606
91825035624486
10542406061446
1119a040099077
1289156838806
133c1c182bc22
141c37718b674
15e19898c166
hex7e49ebad86

542406061446 has 32 divisors (see below), whose sum is σ = 1094763444480. Its totient is φ = 179149884576.

The previous prime is 542406061441. The next prime is 542406061447. The reversal of 542406061446 is 644160604245.

It is a super-2 number, since 2×5424060614462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542406061398 and 542406061407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542406061441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463776 + ... + 1140131.

It is an arithmetic number, because the mean of its divisors is an integer number (34211357640).

Almost surely, 2542406061446 is an apocalyptic number.

542406061446 is an abundant number, since it is smaller than the sum of its proper divisors (552357383034).

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

542406061446 is a wasteful number, since it uses less digits than its factorization.

542406061446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604428.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 542406061446 in words is "five hundred forty-two billion, four hundred six million, sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 157 314 359 471 718 942 1077 2154 56363 112726 169089 338178 1603907 3207814 4811721 9623442 251813399 503626798 575802613 755440197 1151605226 1510880394 1727407839 3454815678 90401010241 180802020482 271203030723 542406061446