Search a number
-
+
50811886368 = 2532436016827
BaseRepresentation
bin101111010100100111…
…111101101100100000
311212011011112021100100
4233110213331230200
51313030320330433
635202003022400
73446110623255
oct572447755440
9155134467310
1050811886368
111a604a92321
129a2096aa00
134a3a024c69
1426604b142c
1514c5cb8b13
hexbd49fdb20

50811886368 has 144 divisors (see below), whose sum is σ = 148124392416. Its totient is φ = 16513459200.

The previous prime is 50811886351. The next prime is 50811886397. The reversal of 50811886368 is 86368811805.

50811886368 is a `hidden beast` number, since 508 + 1 + 18 + 8 + 63 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7439371 + ... + 7446197.

It is an arithmetic number, because the mean of its divisors is an integer number (1028641614).

Almost surely, 250811886368 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 50811886368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74062196208).

50811886368 is an abundant number, since it is smaller than the sum of its proper divisors (97312506048).

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

50811886368 is a wasteful number, since it uses less digits than its factorization.

50811886368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 50811886368 in words is "fifty billion, eight hundred eleven million, eight hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 601 688 774 1032 1202 1376 1548 1803 2064 2404 3096 3606 4128 4808 5409 6192 6827 7212 9616 10818 12384 13654 14424 19232 20481 21636 25843 27308 28848 40962 43272 51686 54616 57696 61443 77529 81924 86544 103372 109232 122886 155058 163848 173088 206744 218464 232587 245772 293561 310116 327696 413488 465174 491544 587122 620232 655392 826976 880683 930348 983088 1174244 1240464 1761366 1860696 1966176 2348488 2480928 2642049 3522732 3721392 4103027 4696976 5284098 7045464 7442784 8206054 9393952 10568196 12309081 14090928 16412108 21136392 24618162 28181856 32824216 36927243 42272784 49236324 65648432 73854486 84545568 98472648 131296864 147708972 176430161 196945296 295417944 352860322 393890592 529290483 590835888 705720644 1058580966 1181671776 1411441288 1587871449 2117161932 2822882576 3175742898 4234323864 5645765152 6351485796 8468647728 12702971592 16937295456 25405943184 50811886368