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2421117126 = 2322337179883
BaseRepresentation
bin1001000001001111…
…0101000011000110
320020201202111022200
42100103311003012
514424301222001
61040124535330
7113666104341
oct22023650306
96221674280
102421117126
11103272614a
125769b1546
132c77a06ac
1418d799458
15e2848086
hex904f50c6

2421117126 has 96 divisors (see below), whose sum is σ = 5659580160. Its totient is φ = 746044992.

The previous prime is 2421117079. The next prime is 2421117131. The reversal of 2421117126 is 6217111242.

2421117126 is a `hidden beast` number, since 2 + 421 + 117 + 126 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2421117126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741481 + ... + 2742363.

It is an arithmetic number, because the mean of its divisors is an integer number (58953960).

Almost surely, 22421117126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421117126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829790080).

2421117126 is an abundant number, since it is smaller than the sum of its proper divisors (3238463034).

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

2421117126 is a wasteful number, since it uses less digits than its factorization.

2421117126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2421117126 is about 49204.8486025514. The cubic root of 2421117126 is about 1342.7812446152.

Adding to 2421117126 its reverse (6217111242), we get a palindrome (8638228368).

The spelling of 2421117126 in words is "two billion, four hundred twenty-one million, one hundred seventeen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 179 207 222 333 358 414 537 666 851 883 1074 1611 1702 1766 2553 2649 3222 4117 5106 5298 6623 7659 7947 8234 12351 13246 15318 15894 19869 20309 24702 32671 37053 39738 40618 59607 60927 65342 74106 98013 119214 121854 152329 158057 182781 196026 294039 304658 316114 365562 456987 474171 588078 751433 913974 948342 1370961 1422513 1502866 2254299 2741922 2845026 3635311 4508598 5848109 6762897 7270622 10905933 11696218 13525794 17544327 21811866 32717799 35088654 52632981 65435598 105265962 134506507 269013014 403519521 807039042 1210558563 2421117126