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42052534548 = 223199712771489
BaseRepresentation
bin100111001010100001…
…101100000100010100
311000112201021002120120
4213022201230010110
51142110422101143
631152455431540
73016046434353
oct471241540424
9130481232516
1042052534548
111691a617692
1281973855b0
133c7239184b
14206d01d99a
151161cc5383
hex9ca86c114

42052534548 has 96 divisors (see below), whose sum is σ = 104503593600. Its totient is φ = 13123731456.

The previous prime is 42052534547. The next prime is 42052534631. The reversal of 42052534548 is 84543525024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052534543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28241388 + ... + 28242876.

It is an arithmetic number, because the mean of its divisors is an integer number (1088579100).

Almost surely, 242052534548 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 42052534548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52251796800).

42052534548 is an abundant number, since it is smaller than the sum of its proper divisors (62451059052).

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

42052534548 is a wasteful number, since it uses less digits than its factorization.

42052534548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 42052534548 in words is "forty-two billion, fifty-two million, five hundred thirty-four thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1164 1277 1489 1843 2554 2978 3686 3831 4467 5108 5529 5956 7372 7662 8934 11058 15324 17868 22116 24263 28291 48526 56582 72789 84873 97052 113164 123869 144433 145578 169746 247738 288866 291156 339492 371607 433299 495476 577732 743214 866598 1486428 1733196 1901453 2353511 2744227 3802906 4707022 5488454 5704359 7060533 7605812 8232681 9414044 10976908 11408718 14121066 16465362 22817436 28242132 32930724 36127607 72255214 108382821 144510428 184440941 216765642 368881882 433531284 553322823 737763764 1106645646 2213291292 3504377879 7008755758 10513133637 14017511516 21026267274 42052534548