Search a number
-
+
42774310620 = 22325834875879
BaseRepresentation
bin100111110101100011…
…000010111011011100
311002102000102010012200
4213311203002323130
51200100210414440
631352241531500
73042662432646
oct476543027334
9132360363180
1042774310620
111715aa8a738
128359043b90
134058a86892
1420dac25896
1511a5349c30
hex9f58c2edc

42774310620 has 144 divisors (see below), whose sum is σ = 131603996160. Its totient is φ = 11244002688.

The previous prime is 42774310619. The next prime is 42774310637. The reversal of 42774310620 is 2601347724.

42774310620 is a `hidden beast` number, since 4 + 27 + 7 + 4 + 3 + 1 + 0 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7272841 + ... + 7278719.

It is an arithmetic number, because the mean of its divisors is an integer number (913916640).

Almost surely, 242774310620 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 42774310620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65801998080).

42774310620 is an abundant number, since it is smaller than the sum of its proper divisors (88829685540).

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

42774310620 is a wasteful number, since it uses less digits than its factorization.

42774310620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42774310620 in words is "forty-two billion, seven hundred seventy-four million, three hundred ten thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 487 498 747 830 974 996 1245 1461 1494 1660 1948 2435 2490 2922 2988 3735 4383 4870 4980 5844 5879 7305 7470 8766 9740 11758 14610 14940 17532 17637 21915 23516 29220 29395 35274 40421 43830 52911 58790 70548 80842 87660 88185 105822 117580 121263 161684 176370 202105 211644 242526 264555 352740 363789 404210 485052 487957 529110 606315 727578 808420 975914 1058220 1212630 1455156 1463871 1818945 1951828 2425260 2439785 2863073 2927742 3637890 4391613 4879570 5726146 5855484 7275780 7319355 8589219 8783226 9759140 11452292 14315365 14638710 17178438 17566452 21958065 25767657 28630730 29277420 34356876 42946095 43916130 51535314 57261460 85892190 87832260 103070628 128838285 171784380 237635059 257676570 475270118 515353140 712905177 950540236 1188175295 1425810354 2138715531 2376350590 2851620708 3564525885 4277431062 4752701180 7129051770 8554862124 10693577655 14258103540 21387155310 42774310620