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68032111301440 = 265111341891812251
BaseRepresentation
bin11110111011111111101011…
…10100111101001101000000
322220212210202210212001022021
433131333311310331031000
532404114230443121230
6400405304231051224
720221105065500416
oct1735776564751500
9286783683761267
1068032111301440
111a74a2902663a0
1277690b4510b14
132bc6529081620
1412b2ab39ad2b6
157cea10b8cc7a
hex3ddff5d3d340

68032111301440 has 896 divisors, whose sum is σ = 198333386334720. Its totient is φ = 21897216000000.

The previous prime is 68032111301437. The next prime is 68032111301467. The reversal of 68032111301440 is 4410311123086.

It is a junction number, because it is equal to n+sod(n) for n = 68032111301396 and 68032111301405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30223060315 + ... + 30223062565.

It is an arithmetic number, because the mean of its divisors is an integer number (221354225820).

Almost surely, 268032111301440 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 68032111301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99166693167360).

68032111301440 is an abundant number, since it is smaller than the sum of its proper divisors (130301275033280).

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

68032111301440 is a wasteful number, since it uses less digits than its factorization.

68032111301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 68032111301440 in words is "sixty-eight trillion, thirty-two billion, one hundred eleven million, three hundred one thousand, four hundred forty".