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51032411934592 = 27112391136913339
BaseRepresentation
bin10111001101001111010001…
…10010010000111110000000
320200200122120112100120020211
423212213220302100332000
523142103334423401332
6300311544424043504
713514653512160234
oct1346475062207600
9220618515316224
1051032411934592
11152957a7141190
12588250b603594
13226244998a82a
14c85da65445c4
155d770bb32447
hex2e69e8c90f80

51032411934592 has 128 divisors (see below), whose sum is σ = 111390707520000. Its totient is φ = 23095730810880.

The previous prime is 51032411934523. The next prime is 51032411934599. The reversal of 51032411934592 is 29543911423015.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51032411934599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825798259 + ... + 3825811597.

It is an arithmetic number, because the mean of its divisors is an integer number (870239902500).

Almost surely, 251032411934592 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 51032411934592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55695353760000).

51032411934592 is an abundant number, since it is smaller than the sum of its proper divisors (60358295585408).

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

51032411934592 is a wasteful number, since it uses less digits than its factorization.

51032411934592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972 (or 24960 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 51032411934592 in words is "fifty-one trillion, thirty-two billion, four hundred eleven million, nine hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 239 352 478 704 956 1408 1912 2629 3824 5258 7648 10516 11369 13339 15296 21032 22738 26678 30592 42064 45476 53356 84128 90952 106712 125059 146729 168256 181904 213424 250118 293458 336512 363808 426848 500236 586916 727616 853696 1000472 1173832 1455232 1707392 2000944 2347664 2717191 3188021 4001888 4695328 5434382 6376042 8003776 9390656 10868764 12752084 16007552 18781312 21737528 25504168 29889101 35068231 43475056 51008336 59778202 70136462 86950112 102016672 119556404 140272924 151651091 173900224 204033344 239112808 280545848 303302182 347800448 408066688 478225616 561091696 606604364 956451232 1122183392 1213208728 1668162001 1912902464 2244366784 2426417456 3336324002 3825804928 4488733568 4852834912 6672648004 9705669824 13345296008 19411339648 26690592016 36244610749 53381184032 72489221498 106762368064 144978442996 213524736128 289956885992 398690718239 579913771984 797381436478 1159827543968 1594762872956 2319655087936 3189525745912 4639310175872 6379051491824 12758102983648 25516205967296 51032411934592