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50144521984 = 282361149937
BaseRepresentation
bin101110101100110110…
…001010111100000000
311210102122202122111221
4232230312022330000
51310143444200414
635011443044424
73423425255434
oct565466127400
9153378678457
1050144521984
111a2a2303607
129875370714
1349619a13ab
1425d99d09c4
1514873e1224
hexbacd8af00

50144521984 has 144 divisors (see below), whose sum is σ = 106983777600. Its totient is φ = 23405690880.

The previous prime is 50144521949. The next prime is 50144522017. The reversal of 50144521984 is 48912544105.

It is a self number, because there is not a number n which added to its sum of digits gives 50144521984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53515564 + ... + 53516500.

It is an arithmetic number, because the mean of its divisors is an integer number (742942900).

Almost surely, 250144521984 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 50144521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491888800).

50144521984 is an abundant number, since it is smaller than the sum of its proper divisors (56839255616).

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

50144521984 is a wasteful number, since it uses less digits than its factorization.

50144521984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 50144521984 in words is "fifty billion, one hundred forty-four million, five hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 128 149 184 244 256 298 368 488 596 736 937 976 1192 1403 1472 1874 1952 2384 2806 2944 3427 3748 3904 4768 5612 5888 6854 7496 7808 9089 9536 11224 13708 14992 15616 18178 19072 21551 22448 27416 29984 36356 38144 43102 44896 54832 57157 59968 72712 86204 89792 109664 114314 119936 139613 145424 172408 179584 209047 219328 228628 239872 279226 290848 344816 359168 418094 438656 457256 558452 581696 689632 836188 877312 914512 1116904 1163392 1314611 1379264 1672376 1829024 2233808 2326784 2629222 2758528 3211099 3344752 3658048 4467616 5258444 5517056 6422198 6689504 7316096 8516393 8935232 10516888 12844396 13379008 14632192 17032786 17870464 21033776 25688792 26758016 34065572 35740928 42067552 51377584 53516032 68131144 84135104 102755168 136262288 168270208 195877039 205510336 272524576 336540416 391754078 411020672 545049152 783508156 822041344 1090098304 1567016312 2180196608 3134032624 6268065248 12536130496 25072260992 50144521984