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67690409400 = 23335231194019
BaseRepresentation
bin111111000010101010…
…011010110110111000
320110201110110002012000
4333002222122312320
52102112221100100
651032504221000
74614300662235
oct770252326670
9213643402160
1067690409400
1126786520509
121115146a760
1364c9ac50b3
1433c1dac78c
151b62997900
hexfc2a9adb8

67690409400 has 192 divisors, whose sum is σ = 233288640000. Its totient is φ = 18040498560.

The previous prime is 67690409357. The next prime is 67690409401. The reversal of 67690409400 is 490409676.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67690409401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16840591 + ... + 16844609.

It is an arithmetic number, because the mean of its divisors is an integer number (1215045000).

Almost surely, 267690409400 is an apocalyptic number.

67690409400 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 67690409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116644320000).

67690409400 is an abundant number, since it is smaller than the sum of its proper divisors (165598230600).

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

67690409400 is a wasteful number, since it uses less digits than its factorization.

67690409400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 67690409400 in words is "sixty-seven billion, six hundred ninety million, four hundred nine thousand, four hundred".