Search a number
-
+
20703397632 = 283531912663
BaseRepresentation
bin10011010010000001…
…001100011100000000
31222102212002120101220
4103102001030130000
5314400032211012
613302213355040
71332022655601
oct232201143400
958385076356
1020703397632
11886458a085
124019638a80
131c4c336658
1410058a5da8
158128b008c
hex4d204c700

20703397632 has 144 divisors (see below), whose sum is σ = 56455999488. Its totient is φ = 6732943360.

The previous prime is 20703397591. The next prime is 20703397669. The reversal of 20703397632 is 23679330702.

It is a super-3 number, since 3×207033976323 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7773133 + ... + 7775795.

It is an arithmetic number, because the mean of its divisors is an integer number (392055552).

Almost surely, 220703397632 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 20703397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28227999744).

20703397632 is an abundant number, since it is smaller than the sum of its proper divisors (35752601856).

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

20703397632 is a wasteful number, since it uses less digits than its factorization.

20703397632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The spelling of 20703397632 in words is "twenty billion, seven hundred three million, three hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 191 192 212 256 318 382 384 424 573 636 764 768 848 1146 1272 1528 1696 2292 2544 2663 3056 3392 4584 5088 5326 6112 6784 7989 9168 10123 10176 10652 12224 13568 15978 18336 20246 20352 21304 24448 30369 31956 36672 40492 40704 42608 48896 60738 63912 73344 80984 85216 121476 127824 141139 146688 161968 170432 242952 255648 282278 323936 340864 423417 485904 508633 511296 564556 647872 681728 846834 971808 1017266 1022592 1129112 1295744 1525899 1693668 1943616 2034532 2045184 2258224 2591488 3051798 3387336 3887232 4069064 4516448 6103596 6774672 7774464 8138128 9032896 12207192 13549344 16276256 18065792 24414384 26957549 27098688 32552512 36131584 48828768 53915098 54197376 65105024 80872647 97657536 107830196 108394752 130210048 161745294 195315072 215660392 323490588 390630144 431320784 646981176 862641568 1293962352 1725283136 2587924704 3450566272 5175849408 6901132544 10351698816 20703397632