Search a number
-
+
52673178336 = 25319149193811
BaseRepresentation
bin110001000011100100…
…001110101011100000
312000221212212200220220
4301003210032223200
51330333313201321
640110413003040
73543201425412
oct610344165340
9160855780826
1052673178336
112037a6aa549
12a260183480
134c7582505c
1427997809b2
1515843cc9c6
hexc4390eae0

52673178336 has 96 divisors (see below), whose sum is σ = 146521872000. Its totient is φ = 16521914880.

The previous prime is 52673178289. The next prime is 52673178353. The reversal of 52673178336 is 63387137625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174871 + ... + 368681.

It is an arithmetic number, because the mean of its divisors is an integer number (1526269500).

Almost surely, 252673178336 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 52673178336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73260936000).

52673178336 is an abundant number, since it is smaller than the sum of its proper divisors (93848693664).

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

52673178336 is a wasteful number, since it uses less digits than its factorization.

52673178336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193992 (or 193984 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The spelling of 52673178336 in words is "fifty-two billion, six hundred seventy-three million, one hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 149 152 228 298 304 447 456 596 608 894 912 1192 1788 1824 2384 2831 3576 4768 5662 7152 8493 11324 14304 16986 22648 33972 45296 67944 90592 135888 193811 271776 387622 581433 775244 1162866 1550488 2325732 3100976 3682409 4651464 6201952 7364818 9302928 11047227 14729636 18605856 22094454 28877839 29459272 44188908 57755678 58918544 86633517 88377816 115511356 117837088 173267034 176755632 231022712 346534068 353511264 462045424 548678941 693068136 924090848 1097357882 1386136272 1646036823 2194715764 2772272544 3292073646 4389431528 6584147292 8778863056 13168294584 17557726112 26336589168 52673178336