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4534339968 = 273219239007
BaseRepresentation
bin1000011100100010…
…01000100110000000
3102201000011100002100
410032101020212000
533241242334333
62025534350400
7220236153024
oct41621104600
912630140070
104534339968
111a17575804
12a6665b400
1357353b002
143102c8384
151b8123213
hex10e448980

4534339968 has 192 divisors, whose sum is σ = 14333529600. Its totient is φ = 1369488384.

The previous prime is 4534339951. The next prime is 4534339969. The reversal of 4534339968 is 8699334354.

4534339968 is a `hidden beast` number, since 453 + 43 + 3 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534339969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498921 + ... + 507927.

It is an arithmetic number, because the mean of its divisors is an integer number (74653800).

Almost surely, 24534339968 is an apocalyptic number.

4534339968 is a gapful number since it is divisible by the number (48) 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 4534339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166764800).

4534339968 is an abundant number, since it is smaller than the sum of its proper divisors (9799189632).

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

4534339968 is a wasteful number, since it uses less digits than its factorization.

4534339968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9054 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 4534339968 is about 67337.5078837939. The cubic root of 4534339968 is about 1655.1525454569.

The spelling of 4534339968 in words is "four billion, five hundred thirty-four million, three hundred thirty-nine thousand, nine hundred sixty-eight".