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2134452355464 = 233111319160720369
BaseRepresentation
bin11111000011110111010…
…001100100000110001000
321120001101122200012002010
4133003313101210012020
5234432324300333324
64312315345335520
7310131501445422
oct37036721440610
97501348605063
102134452355464
11753241789530
122a58079375a0
1312637c9a0460
14754453c1812
153a7c6b6c829
hex1f0f7464188

2134452355464 has 256 divisors, whose sum is σ = 6603399936000. Its totient is φ = 565246218240.

The previous prime is 2134452355447. The next prime is 2134452355489. The reversal of 2134452355464 is 4645532544312.

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 63 ways as a sum of consecutive naturals, for example, 104779072 + ... + 104799440.

It is an arithmetic number, because the mean of its divisors is an integer number (25794531000).

Almost surely, 22134452355464 is an apocalyptic number.

2134452355464 is a gapful number since it is divisible by the number (24) 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 2134452355464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301699968000).

2134452355464 is an abundant number, since it is smaller than the sum of its proper divisors (4468947580536).

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

2134452355464 is a wasteful number, since it uses less digits than its factorization.

2134452355464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22028 (or 22024 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 48.

Adding to 2134452355464 its reverse (4645532544312), we get a palindrome (6779984899776).

The spelling of 2134452355464 in words is "two trillion, one hundred thirty-four billion, four hundred fifty-two million, three hundred fifty-five thousand, four hundred sixty-four".