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200403320832 = 2193511213
BaseRepresentation
bin1011101010100011111…
…0000000000000000000
3201011021110012111200000
42322220332000000000
511240411222231312
6232021454400000
720323116056331
oct2725076000000
9634243174600
10200403320832
1177a994a5100
1232a0a800000
1315b89a54160
1499b18ac288
15532da91adc
hex2ea8f80000

200403320832 has 720 divisors, whose sum is σ = 710690580600. Its totient is φ = 56056872960.

The previous prime is 200403320797. The next prime is 200403320833. The reversal of 200403320832 is 238023304002.

200403320832 is a `hidden beast` number, since 20 + 0 + 403 + 3 + 208 + 32 = 666.

It is a super-4 number, since 4×2004033208324 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200403320796 and 200403320805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200403320833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15415640058 + ... + 15415640070.

Almost surely, 2200403320832 is an apocalyptic number.

200403320832 is a gapful number since it is divisible by the number (22) 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 200403320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355345290300).

200403320832 is an abundant number, since it is smaller than the sum of its proper divisors (510287259768).

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

200403320832 is an frugal number, since it uses more digits than its factorization.

200403320832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200403320832 its reverse (238023304002), we get a palindrome (438426624834).

The spelling of 200403320832 in words is "two hundred billion, four hundred three million, three hundred twenty thousand, eight hundred thirty-two".