Search a number
-
+
42457381884 = 223217231131641
BaseRepresentation
bin100111100010101010…
…000011101111111100
311001120221001110201100
4213202222003233330
51143423042210014
631301001013100
73032063535321
oct474252035774
9131527043640
1042457381884
11170080a3465
12828aa84190
13400820c598
1420aaac6b48
1511875e5009
hex9e2a83bfc

42457381884 has 108 divisors (see below), whose sum is σ = 117685841728. Its totient is φ = 12890188800.

The previous prime is 42457381871. The next prime is 42457381913. The reversal of 42457381884 is 48818375424.

42457381884 is a `hidden beast` number, since 4 + 2 + 457 + 3 + 8 + 188 + 4 = 666.

It is a super-2 number, since 2×424573818842 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42457381884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256704 + ... + 388344.

Almost surely, 242457381884 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 42457381884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58842920864).

42457381884 is an abundant number, since it is smaller than the sum of its proper divisors (75228459844).

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

42457381884 is a wasteful number, since it uses less digits than its factorization.

42457381884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131716 (or 131694 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 42457381884 in words is "forty-two billion, four hundred fifty-seven million, three hundred eighty-one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 289 306 372 527 558 578 612 867 1054 1116 1156 1581 1734 2108 2601 3162 3468 4743 5202 6324 8959 9486 10404 17918 18972 26877 35836 53754 80631 107508 131641 161262 263282 322524 394923 526564 789846 1184769 1579692 2237897 2369538 4080871 4475794 4739076 6713691 8161742 8951588 12242613 13427382 16323484 20141073 24485226 26854764 36727839 38044249 40282146 48970452 69374807 73455678 76088498 80564292 114132747 138749614 146911356 152176996 208124421 228265494 277499228 342398241 416248842 456530988 624373263 684796482 832497684 1179371719 1248746526 1369592964 2358743438 2497493052 3538115157 4717486876 7076230314 10614345471 14152460628 21228690942 42457381884