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42162661420 = 225115912725577
BaseRepresentation
bin100111010001000101…
…110010100000101100
311000211101111010020121
4213101011302200230
51142322120131140
631211432054324
73021554465065
oct472105624054
9130741433217
1042162661420
11169767a5630
1282082343a4
133c8c13c889
14207d8c956c
15116b7ca64a
hex9d117282c

42162661420 has 96 divisors (see below), whose sum is σ = 99005276160. Its totient is φ = 14952752640.

The previous prime is 42162661403. The next prime is 42162661427. The reversal of 42162661420 is 2416626124.

It is not an unprimeable number, because it can be changed into a prime (42162661427) 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, 1635672 + ... + 1661248.

It is an arithmetic number, because the mean of its divisors is an integer number (1031304960).

Almost surely, 242162661420 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 42162661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49502638080).

42162661420 is an abundant number, since it is smaller than the sum of its proper divisors (56842614740).

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

42162661420 is a wasteful number, since it uses less digits than its factorization.

42162661420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 42162661420 in words is "forty-two billion, one hundred sixty-two million, six hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 127 220 236 254 295 508 590 635 649 1180 1270 1298 1397 2540 2596 2794 3245 5588 6490 6985 7493 12980 13970 14986 25577 27940 29972 37465 51154 74930 82423 102308 127885 149860 164846 255770 281347 329692 412115 511540 562694 824230 1125388 1406735 1509043 1648460 2813470 3018086 3248279 5626940 6036172 6496558 7545215 12993116 15090430 16241395 16599473 30180860 32482790 33198946 35731069 64965580 66397892 71462138 82997365 142924276 165994730 178655345 191648461 331989460 357310690 383296922 714621380 766593844 958242305 1916484610 2108133071 3832969220 4216266142 8432532284 10540665355 21081330710 42162661420