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42162120364 = 22721323719441
BaseRepresentation
bin100111010001000011…
…101110011010101100
311000211100110122001111
4213101003232122230
51142322000322424
631211412321404
73021550052500
oct472103563254
9130740418044
1042162120364
1116976466081
128208013264
133c8bcb0520
14207d7c8300
15116b720194
hex9d10ee6ac

42162120364 has 72 divisors (see below), whose sum is σ = 96451272288. Its totient is φ = 15954301440.

The previous prime is 42162120349. The next prime is 42162120367. The reversal of 42162120364 is 46302126124.

42162120364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42162120367) 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, 301117 + ... + 418324.

It is an arithmetic number, because the mean of its divisors is an integer number (1339601004).

Almost surely, 242162120364 is an apocalyptic number.

It is an amenable number.

42162120364 is an abundant number, since it is smaller than the sum of its proper divisors (54289151924).

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

42162120364 is a wasteful number, since it uses less digits than its factorization.

42162120364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719495 (or 719486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 42162120364 its reverse (46302126124), we get a palindrome (88464246488).

The spelling of 42162120364 in words is "forty-two billion, one hundred sixty-two million, one hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 91 92 98 161 182 196 299 322 364 598 637 644 1127 1196 1274 2093 2254 2548 4186 4508 8372 14651 29302 58604 719441 1438882 2877764 5036087 9352733 10072174 16547143 18705466 20144348 33094286 35252609 37410932 65469131 66188572 70505218 115830001 130938262 141010436 215112859 231660002 261876524 430225718 458283917 463320004 810810007 860451436 916567834 1505790013 1621620014 1833135668 3011580026 3243240028 6023160052 10540530091 21081060182 42162120364