Search a number
-
+
54734726340 = 22325766165719
BaseRepresentation
bin110010111110011100…
…011010010011000100
312020021120001012010200
4302332130122103010
51344044042220330
641051135050500
73645243332430
oct627634322304
9166246035120
1054734726340
1121238365028
12a736670a30
13521396bb48
14291349b9c0
15165539ba60
hexcbe71a4c4

54734726340 has 144 divisors (see below), whose sum is σ = 190037003520. Its totient is φ = 12491677440.

The previous prime is 54734726329. The next prime is 54734726383. The reversal of 54734726340 is 4362743745.

54734726340 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 4 + 7 + 2 + 634 + 0 = 666.

54734726340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 800001 + ... + 865719.

Almost surely, 254734726340 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 54734726340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95018501760).

54734726340 is an abundant number, since it is smaller than the sum of its proper divisors (135302277180).

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

54734726340 is a wasteful number, since it uses less digits than its factorization.

54734726340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66402 (or 66397 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 54734726340 in words is "fifty-four billion, seven hundred thirty-four million, seven hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 661 1260 1322 1983 2644 3305 3966 4627 5949 6610 7932 9254 9915 11898 13220 13881 18508 19830 23135 23796 27762 29745 39660 41643 46270 55524 59490 65719 69405 83286 92540 118980 131438 138810 166572 197157 208215 262876 277620 328595 394314 416430 460033 591471 657190 788628 832860 920066 985785 1182942 1314380 1380099 1840132 1971570 2300165 2365884 2760198 2957355 3943140 4140297 4600330 5520396 5914710 6900495 8280594 9200660 11829420 13800990 16561188 20701485 27601980 41402970 43440259 82805940 86880518 130320777 173761036 217201295 260641554 304081813 390962331 434402590 521283108 608163626 651603885 781924662 868805180 912245439 1216327252 1303207770 1520409065 1563849324 1824490878 1954811655 2606415540 2736736317 3040818130 3648981756 3909623310 4561227195 5473472634 6081636260 7819246620 9122454390 10946945268 13683681585 18244908780 27367363170 54734726340