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2368434348632 = 2311217913668881
BaseRepresentation
bin100010011101110001101…
…100000010001001011000
322101102100021001222200002
4202131301230002021120
5302301023143124012
65012013235432132
7333054003540002
oct42356154021130
98342307058602
102368434348632
118334a1499100
12323027a55648
1314245b33cca1
14828c06d5372
154191d5d57c2
hex22771b02258

2368434348632 has 48 divisors (see below), whose sum is σ = 4908495526200. Its totient is φ = 1070546681600.

The previous prime is 2368434348613. The next prime is 2368434348641.

2368434348632 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23684343486322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6661169 + ... + 7007712.

Almost surely, 22368434348632 is an apocalyptic number.

2368434348632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2368434348632 is an abundant number, since it is smaller than the sum of its proper divisors (2540061177568).

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

2368434348632 is a wasteful number, since it uses less digits than its factorization.

2368434348632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669088 (or 13669073 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 56.

The spelling of 2368434348632 in words is "two trillion, three hundred sixty-eight billion, four hundred thirty-four million, three hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 179 242 358 484 716 968 1432 1969 3938 7876 15752 21659 43318 86636 173272 13668881 27337762 54675524 109351048 150357691 300715382 601430764 1202861528 1653934601 2446729699 3307869202 4893459398 6615738404 9786918796 13231476808 19573837592 26914026689 53828053378 107656106756 215312213512 296054293579 592108587158 1184217174316 2368434348632