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50488824672 = 253211131225933
BaseRepresentation
bin101111000001010111…
…100101001101100000
311211022122122001000100
4233001113211031200
51311400114342142
635105542422400
73435105633366
oct570127451540
9154278561010
1050488824672
111a459697290
129950731a00
1349b81112b0
14262d617636
1514a7751b4c
hexbc15e5360

50488824672 has 144 divisors (see below), whose sum is σ = 168678710928. Its totient is φ = 14122736640.

The previous prime is 50488824643. The next prime is 50488824677. The reversal of 50488824672 is 27642888405.

50488824672 is a `hidden beast` number, since 50 + 488 + 8 + 2 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×504888246723 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50488824677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 571783 + ... + 654150.

It is an arithmetic number, because the mean of its divisors is an integer number (1171379937).

Almost surely, 250488824672 is an apocalyptic number.

50488824672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

50488824672 is an abundant number, since it is smaller than the sum of its proper divisors (118189886256).

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

50488824672 is a wasteful number, since it uses less digits than its factorization.

50488824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225973 (or 1225962 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 50488824672 in words is "fifty billion, four hundred eighty-eight million, eight hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 1225933 2451866 3677799 4903732 7355598 9807464 11033397 13485263 14711196 15937129 19614928 22066794 26970526 29422392 31874258 39229856 40455789 44133588 47811387 53941052 58844784 63748516 80911578 88267176 95622774 107882104 117689568 121367367 127497032 143434161 161823156 175308419 176534352 191245548 215764208 242734734 254994064 286868322 323646312 350616838 353068704 382491096 431528416 485469468 509988128 525925257 573736644 647292624 701233676 764982192 970938936 1051850514 1147473288 1294585248 1402467352 1529964384 1577775771 1941877872 2103701028 2294946576 2804934704 3155551542 3883755744 4207402056 4589893152 5609869408 6311103084 8414804112 12622206168 16829608224 25244412336 50488824672