Search a number
-
+
62114262342 = 231131531912999
BaseRepresentation
bin111001110110010011…
…000110110101000110
312221022211221110102220
4321312103012311012
52004202222343332
644311312113210
74326151342566
oct716623066506
9187284843386
1062114262342
1124384977710
1210055b35806
135b1b79c9b2
1430135b2da6
151938185d2c
hexe764c6d46

62114262342 has 128 divisors (see below), whose sum is σ = 143327232000. Its totient is φ = 17772144000.

The previous prime is 62114262341. The next prime is 62114262359. The reversal of 62114262342 is 24326241126.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62114262341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20710159 + ... + 20713157.

It is an arithmetic number, because the mean of its divisors is an integer number (1119744000).

Almost surely, 262114262342 is an apocalyptic number.

62114262342 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 62114262342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71663616000).

62114262342 is an abundant number, since it is smaller than the sum of its proper divisors (81212969658).

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

62114262342 is a wasteful number, since it uses less digits than its factorization.

62114262342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290.

The product of its digits is 27648, while the sum is 33.

The spelling of 62114262342 in words is "sixty-two billion, one hundred fourteen million, two hundred sixty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 53 62 66 93 106 159 186 191 318 341 382 573 583 682 1023 1146 1166 1643 1749 2046 2101 2999 3286 3498 4202 4929 5921 5998 6303 8997 9858 10123 11842 12606 17763 17994 18073 20246 30369 32989 35526 36146 54219 60738 65131 65978 92969 98967 108438 111353 130262 158947 185938 195393 197934 222706 278907 313813 317894 334059 390786 476841 557814 572809 627626 668118 941439 953682 1022659 1145618 1718427 1748417 1882878 2045318 3067977 3436854 3451943 3496834 4927357 5245251 6135954 6300899 6903886 9854714 10355829 10490502 12601798 14782071 17757079 18902697 20711658 29564142 30358877 35514158 37805394 53271237 54200927 60717754 91076631 106542474 108401854 162602781 182153262 195327869 325205562 333947647 390655738 585983607 667895294 941125187 1001842941 1171967214 1882250374 2003685882 2823375561 5646751122 10352377057 20704754114 31057131171 62114262342