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67030522944 = 2637211353101
BaseRepresentation
bin111110011011010101…
…001001110001000000
320102000110202101010220
4332123111021301000
52044234303213234
650443212423040
74562036021100
oct763325116100
9212013671126
1067030522944
1126477a8a000
1210ba8477a80
13642318c138
14335c4b7200
151b24a9aa49
hexf9b549c40

67030522944 has 672 divisors, whose sum is σ = 233492844672. Its totient is φ = 16912896000.

The previous prime is 67030522939. The next prime is 67030522957. The reversal of 67030522944 is 44922503076.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×670305229442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67030522896 and 67030522905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663668494 + ... + 663668594.

Almost surely, 267030522944 is an apocalyptic number.

67030522944 is a gapful number since it is divisible by the number (64) 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 67030522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116746422336).

67030522944 is an abundant number, since it is smaller than the sum of its proper divisors (166462321728).

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

67030522944 is a wasteful number, since it uses less digits than its factorization.

67030522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 67030522944 in words is "sixty-seven billion, thirty million, five hundred twenty-two thousand, nine hundred forty-four".