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209634841936 = 241331137307773
BaseRepresentation
bin1100001100111100110…
…1011101010101010000
3202001002210221100221001
43003033031131111100
511413313004420221
6240145510111344
721100642520122
oct3031715352520
9661083840831
10209634841936
11809a6448593
123476634b554
13169cb476b90
14a20994d212
1556be252391
hex30cf35d550

209634841936 has 160 divisors (see below), whose sum is σ = 456888757248. Its totient is φ = 92527349760.

The previous prime is 209634841919. The next prime is 209634841951. The reversal of 209634841936 is 639148436902.

209634841936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 271196046 + ... + 271196818.

Almost surely, 2209634841936 is an apocalyptic number.

209634841936 is a gapful number since it is divisible by the number (26) 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 209634841936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228444378624).

209634841936 is an abundant number, since it is smaller than the sum of its proper divisors (247253915312).

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

209634841936 is a wasteful number, since it uses less digits than its factorization.

209634841936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 209634841936 in words is "two hundred nine billion, six hundred thirty-four million, eight hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 137 208 248 274 307 403 496 548 614 773 806 1096 1228 1546 1612 1781 2192 2456 3092 3224 3562 3991 4247 4912 6184 6448 7124 7982 8494 9517 10049 12368 14248 15964 16988 19034 20098 23963 28496 31928 33976 38068 40196 42059 47926 55211 63856 67952 76136 80392 84118 95852 105901 110422 123721 152272 160784 168236 191704 211802 220844 237311 247442 311519 336472 383408 423604 441688 474622 494884 546767 623038 672944 847208 883376 949244 989768 1093534 1246076 1303829 1376713 1694416 1898488 1979536 2187068 2492152 2607658 2753426 3085043 3282931 3796976 4374136 4984304 5215316 5506852 6170086 6565862 7356641 8748272 10430632 11013704 12340172 13131724 14713282 16949777 20861264 22027408 24680344 26263448 29426564 32511607 33899554 42678103 49360688 52526896 58853128 65023214 67799108 85356206 95636333 117706256 130046428 135598216 170712412 191272666 260092856 271196432 341424824 382545332 422650891 520185712 682849648 765090664 845301782 1007859817 1530181328 1690603564 2015719634 3381207128 4031439268 6762414256 8062878536 13102177621 16125757072 26204355242 52408710484 104817420968 209634841936