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202011204688 = 242383107113547
BaseRepresentation
bin1011110000100011001…
…1100101110001010000
3201022102111201110122221
42330020303211301100
511302204332022223
6232445213110424
720411011623346
oct2741063456120
9638374643587
10202011204688
1178744071037
1233199188414
1316084bba517
149ac5255996
1553c4cebb5d
hex2f08ce5c50

202011204688 has 160 divisors (see below), whose sum is σ = 421659012096. Its totient is φ = 93549840384.

The previous prime is 202011204643. The next prime is 202011204709. The reversal of 202011204688 is 886402110202.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 369307231 + ... + 369307777.

Almost surely, 2202011204688 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 202011204688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210829506048).

202011204688 is an abundant number, since it is smaller than the sum of its proper divisors (219647807408).

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

202011204688 is a wasteful number, since it uses less digits than its factorization.

202011204688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 202011204688 in words is "two hundred two billion, eleven million, two hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 46 83 92 107 113 166 184 214 226 332 368 428 452 547 664 856 904 1094 1328 1712 1808 1909 2188 2461 2599 3818 4376 4922 5198 7636 8752 8881 9379 9844 10396 12091 12581 15272 17762 18758 19688 20792 24182 25162 30544 35524 37516 39376 41584 45401 48364 50324 58529 61811 71048 75032 90802 96728 100648 117058 123622 142096 150064 181604 193456 201296 204263 215717 234116 247244 278093 363208 408526 431434 468232 494488 556186 726416 817052 862868 936464 988976 1003553 1044223 1112372 1346167 1421653 1634104 1725736 2007106 2088446 2224744 2692334 2843306 3268208 3451472 4014212 4176892 4449488 4857907 5130313 5384668 5686612 6613777 8028424 8353784 9715814 10260626 10769336 11373224 13227554 16056848 16707568 19431628 20521252 21538672 22746448 23081719 26455108 38863256 41042504 46163438 52910216 77726512 82085008 92326876 105820432 111731861 117997199 152116871 184653752 223463722 235994398 304233742 369307504 446927444 471988796 548943491 608467484 893854888 943977592 1097886982 1216934968 1787709776 1887955184 2195773964 2433869936 4391547928 8783095856 12625700293 25251400586 50502801172 101005602344 202011204688