Search a number
-
+
42707468048 = 2472914938807
BaseRepresentation
bin100111110001100100…
…000011111100010000
311002020100122011102212
4213301210003330100
51144431102434143
631341453131252
73041221326440
oct476144037420
9132210564385
1042707468048
1117126285943
12833a789b28
134047c8226b
1420d1dc6120
15119e544918
hex9f1903f10

42707468048 has 80 divisors (see below), whose sum is σ = 97904090880. Its totient is φ = 17658213888.

The previous prime is 42707467963. The next prime is 42707468059. The reversal of 42707468048 is 84086470724.

It is a junction number, because it is equal to n+sod(n) for n = 42707467987 and 42707468005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4844861 + ... + 4853667.

It is an arithmetic number, because the mean of its divisors is an integer number (1223801136).

Almost surely, 242707468048 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 42707468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48952045440).

42707468048 is an abundant number, since it is smaller than the sum of its proper divisors (55196622832).

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

42707468048 is a wasteful number, since it uses less digits than its factorization.

42707468048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The spelling of 42707468048 in words is "forty-two billion, seven hundred seven million, four hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1493 1624 2986 3248 5972 8807 10451 11944 17614 20902 23888 35228 41804 43297 61649 70456 83608 86594 123298 140912 167216 173188 246596 255403 303079 346376 493192 510806 606158 692752 986384 1021612 1212316 1787821 2043224 2424632 3575642 4086448 4849264 7151284 13148851 14302568 26297702 28605136 52595404 92041957 105190808 184083914 210381616 368167828 381316679 736335656 762633358 1472671312 1525266716 2669216753 3050533432 5338433506 6101066864 10676867012 21353734024 42707468048