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200013003424 = 25132363710169
BaseRepresentation
bin1011101001000110110…
…1000011101010100000
3201010021020202022211201
42322101231003222200
511234111312102144
6231515032450544
720310336322603
oct2722155035240
9633236668751
10200013003424
1177909142933
123291bb49a54
1315b26c22b00
149975b0833a
1553096921d4
hex2e91b43aa0

200013003424 has 72 divisors (see below), whose sum is σ = 426555245340. Its totient is φ = 92279236608.

The previous prime is 200013003419. The next prime is 200013003479. The reversal of 200013003424 is 424300310002.

It can be written as a sum of positive squares in 6 ways, for example, as 23219664400 + 176793339024 = 152380^2 + 420468^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19663812 + ... + 19673980.

Almost surely, 2200013003424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200013003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213277622670).

200013003424 is an abundant number, since it is smaller than the sum of its proper divisors (226542241916).

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

200013003424 is a wasteful number, since it uses less digits than its factorization.

200013003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13842 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 200013003424 its reverse (424300310002), we get a palindrome (624313313426).

The spelling of 200013003424 in words is "two hundred billion, thirteen million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 3637 5408 7274 10169 14548 20338 29096 40676 47281 58192 81352 94562 116384 132197 162704 189124 264394 325408 378248 528788 614653 756496 1057576 1229306 1512992 1718561 2115152 2458612 3437122 4230304 4917224 6874244 9834448 13748488 19668896 27496976 36984653 54993952 73969306 147938612 295877224 480800489 591754448 961600978 1183508896 1923201956 3846403912 6250406357 7692807824 12500812714 15385615648 25001625428 50003250856 100006501712 200013003424