Search a number
-
+
62114262340 = 22513899727673
BaseRepresentation
bin111001110110010011…
…000110110101000100
312221022211221110102211
4321312103012311010
52004202222343330
644311312113204
74326151342564
oct716623066504
9187284843384
1062114262340
1124384977709
1210055b35804
135b1b79c9b0
1430135b2da4
151938185d2a
hexe764c6d44

62114262340 has 96 divisors (see below), whose sum is σ = 143521791840. Its totient is φ = 22442213376.

The previous prime is 62114262307. The next prime is 62114262341. The reversal of 62114262340 is 4326241126.

62114262340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 53802658116 + 8311604224 = 231954^2 + 91168^2 .

It is not an unprimeable number, because it can be changed into a prime (62114262341) 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, 2230744 + ... + 2258416.

It is an arithmetic number, because the mean of its divisors is an integer number (1495018665).

Almost surely, 262114262340 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 62114262340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71760895920).

62114262340 is an abundant number, since it is smaller than the sum of its proper divisors (81407529500).

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

62114262340 is a wasteful number, since it uses less digits than its factorization.

62114262340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27881 (or 27879 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 62114262340 in words is "sixty-two billion, one hundred fourteen million, two hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 97 130 178 194 260 356 388 445 485 890 970 1157 1261 1780 1940 2314 2522 4628 5044 5785 6305 8633 11570 12610 17266 23140 25220 27673 34532 43165 55346 86330 110692 112229 138365 172660 224458 276730 359749 448916 553460 561145 719498 1122290 1438996 1798745 2244580 2462897 2684281 3597490 4925794 5368562 7194980 9851588 10737124 12314485 13421405 24628970 26842810 32017661 34895653 49257940 53685620 64035322 69791306 128070644 139582612 160088305 174478265 238901009 320176610 348956530 477802018 640353220 697913060 955604036 1194505045 2389010090 3105713117 4778020180 6211426234 12422852468 15528565585 31057131170 62114262340