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67690002240 = 263557373361
BaseRepresentation
bin111111000010101000…
…110111011101000000
320110201102200101200000
4333002220313131000
52102112120032430
651032451400000
74614264345210
oct770250673500
9213642611600
1067690002240
1126786272613
12111512b3000
1364c99b1983
1433c1d04240
151b62916e60
hexfc2a37740

67690002240 has 672 divisors, whose sum is σ = 283483409664. Its totient is φ = 15049359360.

The previous prime is 67690002173. The next prime is 67690002251. The reversal of 67690002240 is 4220009676.

It is a happy number.

67690002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67690002195 and 67690002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20138160 + ... + 20141520.

It is an arithmetic number, because the mean of its divisors is an integer number (421850312).

Almost surely, 267690002240 is an apocalyptic number.

67690002240 is a gapful number since it is divisible by the number (60) 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 67690002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141741704832).

67690002240 is an abundant number, since it is smaller than the sum of its proper divisors (215793407424).

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

67690002240 is a wasteful number, since it uses less digits than its factorization.

67690002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 67690002240 in words is "sixty-seven billion, six hundred ninety million, two thousand, two hundred forty".