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200388197265984 = 263271312731794961
BaseRepresentation
bin101101100100000010000011…
…010100001011001001000000
3222021111220222000021102021100
4231210002003110023021000
5202231130012000002414
61550105022244054400
760131366222531340
oct5544020324131100
9867456860242240
10200388197265984
1158939180279a12
121a5846a9994400
1387a76ab5a3430
14376abaa478d20
1518278546d1609
hexb6408350b240

200388197265984 has 672 divisors, whose sum is σ = 714746501554176. Its totient is φ = 52267539824640.

The previous prime is 200388197265983. The next prime is 200388197266001. The reversal of 200388197265984 is 489562791883002.

200388197265984 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 8 + 8 + 1 + 9 + 7 + 26 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (200388197265983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2110168264 + ... + 2110263224.

It is an arithmetic number, because the mean of its divisors is an integer number (1063610865408).

It is a 1-persistent number, because it is pandigital, but 2⋅200388197265984 = 400776394531968 is not.

Almost surely, 2200388197265984 is an apocalyptic number.

200388197265984 is a gapful number since it is divisible by the number (24) 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 200388197265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357373250777088).

200388197265984 is an abundant number, since it is smaller than the sum of its proper divisors (514358304288192).

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

200388197265984 is a wasteful number, since it uses less digits than its factorization.

200388197265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95443 (or 95430 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 200388197265984 in words is "two hundred trillion, three hundred eighty-eight billion, one hundred ninety-seven million, two hundred sixty-five thousand, nine hundred eighty-four".