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50541973794 = 232131789142757
BaseRepresentation
bin101111000100100010…
…010101000100100010
311211110100122021220100
4233010202111010202
51312002221130134
635115121523230
73436322455164
oct570442250442
9154410567810
1050541973794
111a486698a84
1299664a3516
1349c612cb90
1426366d0934
1514ac24e999
hexbc4895122

50541973794 has 96 divisors (see below), whose sum is σ = 126272306160. Its totient is φ = 14472032256.

The previous prime is 50541973793. The next prime is 50541973799. The reversal of 50541973794 is 49737914505.

50541973794 is a `hidden beast` number, since 5 + 0 + 541 + 9 + 7 + 3 + 7 + 94 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8961462225 + 41580511569 = 94665^2 + 203913^2 .

It is a super-2 number, since 2×505419737942 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 50541973794.

It is not an unprimeable number, because it can be changed into a prime (50541973793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282664 + ... + 425420.

Almost surely, 250541973794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50541973794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63136153080).

50541973794 is an abundant number, since it is smaller than the sum of its proper divisors (75730332366).

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

50541973794 is a wasteful number, since it uses less digits than its factorization.

50541973794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142884 (or 142881 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 50541973794 in words is "fifty billion, five hundred forty-one million, nine hundred seventy-three thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 89 102 117 153 178 221 234 267 306 442 534 663 801 1157 1326 1513 1602 1989 2314 3026 3471 3978 4539 6942 9078 10413 13617 19669 20826 27234 39338 59007 118014 142757 177021 285514 354042 428271 856542 1284813 1855841 2426869 2569626 3711682 4853738 5567523 7280607 11135046 12705373 14561214 16702569 21841821 25410746 31549297 33405138 38116119 43683642 63098594 76232238 94647891 114348357 165169849 189295782 215991341 228696714 283943673 330339698 431982682 495509547 567887346 647974023 991019094 1295948046 1486528641 1943922069 2807887433 2973057282 3887844138 5615774866 8423662299 16847324598 25270986897 50541973794