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67703141376 = 21032132172557
BaseRepresentation
bin111111000011011010…
…111111010000000000
320110202100101221011200
4333003122333100000
52102124001011001
651034041141200
74614514130553
oct770332772000
9213670357150
1067703141376
1126792727202
121115578a800
1364cc632300
1433c396469a
151b63b60086
hexfc36bf400

67703141376 has 396 divisors, whose sum is σ = 224225669772. Its totient is φ = 19598671872.

The previous prime is 67703141369. The next prime is 67703141383. The reversal of 67703141376 is 67314130776.

67703141376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67703141369) and next prime (67703141383).

It can be written as a sum of positive squares in 6 ways, for example, as 5115110400 + 62588030976 = 71520^2 + 250176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26476290 + ... + 26478846.

Almost surely, 267703141376 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 67703141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112112834886).

67703141376 is an abundant number, since it is smaller than the sum of its proper divisors (156522528396).

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

67703141376 is a wasteful number, since it uses less digits than its factorization.

67703141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 67703141376 in words is "sixty-seven billion, seven hundred three million, one hundred forty-one thousand, three hundred seventy-six".