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42132210406 = 21121317787783
BaseRepresentation
bin100111001111010001…
…101000001011100110
311000202021012001022021
4213033101220023212
51142241321213111
631204423253354
73021034610446
oct471721501346
9130667161267
1042132210406
1116960597300
1281b9baa25a
133c85a3a520
142079840126
151168cb2d71
hex9cf4682e6

42132210406 has 48 divisors (see below), whose sum is σ = 79210105632. Its totient is φ = 16637955840.

The previous prime is 42132210403. The next prime is 42132210431. The reversal of 42132210406 is 60401223124.

It is a happy number.

42132210406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132210403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340410 + ... + 447373.

It is an arithmetic number, because the mean of its divisors is an integer number (1650210534).

Almost surely, 242132210406 is an apocalyptic number.

42132210406 is a deficient number, since it is larger than the sum of its proper divisors (37077895226).

42132210406 is a wasteful number, since it uses less digits than its factorization.

42132210406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787837 (or 787826 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 42132210406 in words is "forty-two billion, one hundred thirty-two million, two hundred ten thousand, four hundred six".

Divisors: 1 2 11 13 17 22 26 34 121 143 187 221 242 286 374 442 1573 2057 2431 3146 4114 4862 26741 53482 787783 1575566 8665613 10241179 13392311 17331226 20482358 26784622 95321743 112652969 147315421 174100043 190643486 225305938 294630842 348200086 1239182659 1620469631 1915100473 2478365318 3240939262 3830200946 21066105203 42132210406