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146265333016 = 231113734734963
BaseRepresentation
bin1000100000111000010…
…1111101110100011000
3111222112111000202220011
42020032011331310120
54344022411124031
6151105433411304
713365406550215
oct2101605756430
9458474022804
10146265333016
1157037a70610
122441bb69b34
1310a3c90b53a
147117788b0c
153c10cbb6b1
hex220e17dd18

146265333016 has 64 divisors (see below), whose sum is σ = 302240004480. Its totient is φ = 65806874880.

The previous prime is 146265332987. The next prime is 146265333041. The reversal of 146265333016 is 610333562641.

It is a self number, because there is not a number n which added to its sum of digits gives 146265333016.

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 15 ways as a sum of consecutive naturals, for example, 4165951 + ... + 4200913.

It is an arithmetic number, because the mean of its divisors is an integer number (4722500070).

Almost surely, 2146265333016 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 146265333016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151120002240).

146265333016 is an abundant number, since it is smaller than the sum of its proper divisors (155974671464).

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

146265333016 is a wasteful number, since it uses less digits than its factorization.

146265333016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35464 (or 35460 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

Adding to 146265333016 its reverse (610333562641), we get a palindrome (756598895657).

The spelling of 146265333016 in words is "one hundred forty-six billion, two hundred sixty-five million, three hundred thirty-three thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 137 274 347 548 694 1096 1388 1507 2776 3014 3817 6028 7634 12056 15268 30536 34963 47539 69926 95078 139852 190156 279704 380312 384593 522929 769186 1045858 1538372 2091716 3076744 4183432 4789931 9579862 12132161 19159724 24264322 38319448 48528644 52689241 97057288 105378482 133453771 210756964 266907542 421513928 533815084 1067630168 1662106057 3324212114 6648424228 13296848456 18283166627 36566333254 73132666508 146265333016