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200644827408 = 243329137116903
BaseRepresentation
bin1011101011011101011…
…1010001100100010000
3201011220021122022102000
42322313113101210100
511241410033434113
6232101442554000
720332110615204
oct2726727214420
9634807568360
10200644827408
1178102857613
1232a77668900
1315bc7ab195c
1499d59b6b04
155344d99373
hex2eb75d1910

200644827408 has 160 divisors (see below), whose sum is σ = 600138374400. Its totient is φ = 64103445504.

The previous prime is 200644827403. The next prime is 200644827431. The reversal of 200644827408 is 804728446002.

200644827408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2006448274082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200644827403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657885 + ... + 1774787.

It is an arithmetic number, because the mean of its divisors is an integer number (3750864840).

Almost surely, 2200644827408 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 200644827408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300069187200).

200644827408 is an abundant number, since it is smaller than the sum of its proper divisors (399493546992).

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

200644827408 is a wasteful number, since it uses less digits than its factorization.

200644827408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117086 (or 117074 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 200644827408 in words is "two hundred billion, six hundred forty-four million, eight hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 137 144 174 216 232 261 274 348 411 432 464 522 548 696 783 822 1044 1096 1233 1392 1566 1644 2088 2192 2466 3132 3288 3699 3973 4176 4932 6264 6576 7398 7946 9864 11919 12528 14796 15892 19728 23838 29592 31784 35757 47676 59184 63568 71514 95352 107271 116903 143028 190704 214542 233806 286056 350709 429084 467612 572112 701418 858168 935224 1052127 1402836 1716336 1870448 2104254 2805672 3156381 3390187 4208508 5611344 6312762 6780374 8417016 10170561 12625524 13560748 16015711 16834032 20341122 25251048 27121496 30511683 32031422 40682244 48047133 50502096 54242992 61023366 64062844 81364488 91535049 96094266 122046732 128125688 144141399 162728976 183070098 192188532 244093464 256251376 288282798 366140196 384377064 432424197 464455619 488186928 576565596 732280392 768754128 864848394 928911238 1153131192 1393366857 1464560784 1729696788 1857822476 2306262384 2786733714 3459393576 3715644952 4180100571 5573467428 6918787152 7431289904 8360201142 11146934856 12540301713 16720402284 22293869712 25080603426 33440804568 50161206852 66881609136 100322413704 200644827408