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4537046142 = 233413795407
BaseRepresentation
bin1000011100110110…
…11101010001111110
3102201012020211021000
410032123131101332
533242440434032
62030112351130
7220301153526
oct41633352176
912635224230
104537046142
111a19053a12
12a675454a6
13573c779b5
143107d0686
151b84a9e7c
hex10e6dd47e

4537046142 has 64 divisors (see below), whose sum is σ = 10357401600. Its totient is φ = 1471296960.

The previous prime is 4537046117. The next prime is 4537046177. The reversal of 4537046142 is 2416407354.

4537046142 is a `hidden beast` number, since 4 + 5 + 37 + 0 + 4 + 614 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4537046097 and 4537046106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 836403 + ... + 841809.

It is an arithmetic number, because the mean of its divisors is an integer number (161834400).

Almost surely, 24537046142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4537046142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178700800).

4537046142 is an abundant number, since it is smaller than the sum of its proper divisors (5820355458).

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

4537046142 is a wasteful number, since it uses less digits than its factorization.

4537046142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4537046142 is about 67357.5989922444. The cubic root of 4537046142 is about 1655.4817547087.

The spelling of 4537046142 in words is "four billion, five hundred thirty-seven million, forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 379 738 758 1107 1137 2214 2274 3411 5407 6822 10233 10814 15539 16221 20466 31078 32442 46617 48663 93234 97326 139851 145989 221687 279702 291978 419553 443374 665061 839106 1330122 1995183 2049253 3990366 4098506 5985549 6147759 11971098 12295518 18443277 36886554 55329831 84019373 110659662 168038746 252058119 504116238 756174357 1512348714 2268523071 4537046142