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20350175872 = 2713194314969
BaseRepresentation
bin10010111100111101…
…110000101010000000
31221112020110001020111
4102330331300222000
5313134121111442
613203154521104
71320203432545
oct227475605200
957466401214
1020350175872
1186a3164374
123b3b296194
131bc40c2bb0
14db09dabcc
157e188bb17
hex4bcf70a80

20350175872 has 128 divisors (see below), whose sum is σ = 47029752000. Its totient is φ = 8690540544.

The previous prime is 20350175863. The next prime is 20350175893. The reversal of 20350175872 is 27857105302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352004 + ... + 1366972.

Almost surely, 220350175872 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 20350175872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514876000).

20350175872 is an abundant number, since it is smaller than the sum of its proper divisors (26679576128).

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

20350175872 is a wasteful number, since it uses less digits than its factorization.

20350175872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15058 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 20350175872 in words is "twenty billion, three hundred fifty million, one hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 43 52 64 76 86 104 128 152 172 208 247 304 344 416 494 559 608 688 817 832 988 1118 1216 1376 1634 1664 1976 2236 2432 2752 3268 3952 4472 5504 6536 7904 8944 10621 13072 14969 15808 17888 21242 26144 29938 31616 35776 42484 52288 59876 71552 84968 104576 119752 169936 194597 239504 284411 339872 389194 479008 568822 643667 679744 778388 958016 1137644 1287334 1359488 1556776 1916032 2275288 2574668 3113552 3697343 4550576 5149336 6227104 7394686 8367671 9101152 10298672 12229673 12454208 14789372 16735342 18202304 20597344 24459346 24908416 29578744 33470684 36404608 41194688 48918692 59157488 66941368 82389376 97837384 118314976 133882736 158985749 195674768 236629952 267765472 317971498 391349536 473259904 535530944 635942996 782699072 1071061888 1271885992 1565398144 2543771984 5087543968 10175087936 20350175872