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396580320000 = 28335491801
BaseRepresentation
bin1011100010101100000…
…01110111001100000000
31101220122100211121221000
411301112001313030000
522444144030220000
6502104140332000
740436426046324
oct5612601671400
91356570747830
10396580320000
11143209285187
1264a39b44000
132b522014957
14152a1d51984
15a4b15a5000
hex5c56077300

396580320000 has 360 divisors, whose sum is σ = 1465494079280. Its totient is φ = 105753600000.

The previous prime is 396580319969. The next prime is 396580320049. The reversal of 396580320000 is 23085693.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3965803200002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4274100 + ... + 4365900.

Almost surely, 2396580320000 is an apocalyptic number.

396580320000 is a gapful number since it is divisible by the number (30) 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 396580320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732747039640).

396580320000 is an abundant number, since it is smaller than the sum of its proper divisors (1068913759280).

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

396580320000 is an frugal number, since it uses more digits than its factorization.

396580320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91846 (or 91811 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 396580320000 in words is "three hundred ninety-six billion, five hundred eighty million, three hundred twenty thousand".