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200378924928 = 2734713217312
BaseRepresentation
bin1011101010011110000…
…0111011111110000000
3201011012202022001210000
42322213200323332000
511240334001044203
6232015223440000
720322401521260
oct2724740737600
9634182261700
10200378924928
1177a867520a6
1232a025b6000
1315b84991c00
1499ac55b7a0
15532b8734a3
hex2ea783bf80

200378924928 has 1440 divisors, whose sum is σ = 807399323280. Its totient is φ = 48134062080.

The previous prime is 200378924927. The next prime is 200378924951. The reversal of 200378924928 is 829429873002.

It is a happy number.

200378924928 is a `hidden beast` number, since 2 + 0 + 0 + 378 + 9 + 249 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200378924927) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6463836273 + ... + 6463836303.

Almost surely, 2200378924928 is an apocalyptic number.

200378924928 is a gapful number since it is divisible by the number (28) 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 200378924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403699661640).

200378924928 is an abundant number, since it is smaller than the sum of its proper divisors (607020398352).

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

200378924928 is a wasteful number, since it uses less digits than its factorization.

200378924928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 200378924928 in words is "two hundred billion, three hundred seventy-eight million, nine hundred twenty-four thousand, nine hundred twenty-eight".