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2334145606968 = 2337243179257869
BaseRepresentation
bin100001111101110101111…
…010110111010100111000
322021010211121202102202010
4201331311322313110320
5301220312233410333
64544143001005520
7330431206205100
oct41756572672470
98233747672663
102334145606968
1181a9a6386a7a
123184587838a0
1313c15559ac36
1480d8a854200
1540ab31ed563
hex21f75eb7538

2334145606968 has 192 divisors, whose sum is σ = 6984769968000. Its totient is φ = 647747912448.

The previous prime is 2334145606967. The next prime is 2334145606973. The reversal of 2334145606968 is 8696065414332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334145606967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8922738 + ... + 9180606.

It is an arithmetic number, because the mean of its divisors is an integer number (36379010250).

Almost surely, 22334145606968 is an apocalyptic number.

2334145606968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334145606968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492384984000).

2334145606968 is an abundant number, since it is smaller than the sum of its proper divisors (4650624361032).

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

2334145606968 is a wasteful number, since it uses less digits than its factorization.

2334145606968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258114 (or 258103 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 2334145606968 in words is "two trillion, three hundred thirty-four billion, one hundred forty-five million, six hundred six thousand, nine hundred sixty-eight".