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8366816640 = 273572136841
BaseRepresentation
bin1111100101011001…
…10111110110000000
3210121002122022201210
413302230313312000
5114113401113030
63502121530120
7414223524300
oct76254676600
923532568653
108366816640
1136039391a6
121756043940
13a345367a0
145952b1600
1533e806bb0
hex1f2b37d80

8366816640 has 384 divisors, whose sum is σ = 33414685920. Its totient is φ = 1765048320.

The previous prime is 8366816617. The next prime is 8366816677. The reversal of 8366816640 is 466186638.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8366816640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219620 + ... + 1226460.

Almost surely, 28366816640 is an apocalyptic number.

8366816640 is a gapful number since it is divisible by the number (80) 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 8366816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707342960).

8366816640 is an abundant number, since it is smaller than the sum of its proper divisors (25047869280).

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

8366816640 is a wasteful number, since it uses less digits than its factorization.

8366816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 8366816640 is about 91470.3046895549. The cubic root of 8366816640 is about 2030.1123996424.

The spelling of 8366816640 in words is "eight billion, three hundred sixty-six million, eight hundred sixteen thousand, six hundred forty".