Search a number
-
+
50291252608 = 271959463757
BaseRepresentation
bin101110110101100101…
…111001110110000000
311210210212212100002111
4232311211321312000
51310444030040413
635034204025104
73430156410502
oct566545716600
9153725770074
1050291252608
111a368112493
1298b6532194
1349861c714c
1426112a7d72
151495226d3d
hexbb5979d80

50291252608 has 128 divisors (see below), whose sum is σ = 107623872000. Its totient is φ = 23336957952.

The previous prime is 50291252593. The next prime is 50291252611. The reversal of 50291252608 is 80625219205.

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

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 15 ways as a sum of consecutive naturals, for example, 66434566 + ... + 66435322.

It is an arithmetic number, because the mean of its divisors is an integer number (840811500).

Almost surely, 250291252608 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 50291252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53811936000).

50291252608 is an abundant number, since it is smaller than the sum of its proper divisors (57332619392).

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

50291252608 is a wasteful number, since it uses less digits than its factorization.

50291252608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 50291252608 in words is "fifty billion, two hundred ninety-one million, two hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 304 463 472 608 757 926 944 1121 1216 1514 1852 1888 2242 2432 3028 3704 3776 4484 6056 7408 7552 8797 8968 12112 14383 14816 17594 17936 24224 27317 28766 29632 35188 35872 44663 48448 54634 57532 59264 70376 71744 89326 96896 109268 115064 140752 143488 178652 218536 230128 281504 350491 357304 437072 460256 519023 563008 700982 714608 848597 874144 920512 1038046 1126016 1401964 1429216 1697194 1748288 1841024 2076092 2803928 2858432 3394388 3496576 4152184 5607856 5716864 6659329 6788776 8304368 11215712 13318658 13577552 16608736 20678969 22431424 26637316 27155104 33217472 41357938 44862848 53274632 54310208 66434944 82715876 106549264 108620416 165431752 213098528 330863504 392900411 426197056 661727008 785800822 852394112 1323454016 1571601644 2646908032 3143203288 6286406576 12572813152 25145626304 50291252608