Search a number
-
+
52141432163000 = 2353139467803251
BaseRepresentation
bin10111101101100000111111…
…00010101100101010111000
320211121200011001120102011012
423312300133202230222320
523313241123113204000
6302521235424253052
713661044203445625
oct1366603742545270
9224550131512135
1052141432163000
111568306a14a2a4
125a21438171188
132312bba47945b
14cc39319ab34c
156064b9458735
hex2f6c1f8acab8

52141432163000 has 128 divisors (see below), whose sum is σ = 123152026233600. Its totient is φ = 20662160400000.

The previous prime is 52141432162999. The next prime is 52141432163033. The reversal of 52141432163000 is 36123414125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64511375 + ... + 65314625.

It is an arithmetic number, because the mean of its divisors is an integer number (962125204950).

Almost surely, 252141432163000 is an apocalyptic number.

52141432163000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52141432163000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61576013116800).

52141432163000 is an abundant number, since it is smaller than the sum of its proper divisors (71010594070600).

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

52141432163000 is a wasteful number, since it uses less digits than its factorization.

52141432163000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803878 (or 803864 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 52141432163000 its reverse (36123414125), we get a palindrome (52177555577125).

The spelling of 52141432163000 in words is "fifty-two trillion, one hundred forty-one billion, four hundred thirty-two million, one hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 467 500 556 695 934 1000 1112 1390 1868 2335 2780 3475 3736 4670 5560 6950 9340 11675 13900 17375 18680 23350 27800 34750 46700 58375 64913 69500 93400 116750 129826 139000 233500 259652 324565 467000 519304 649130 803251 1298260 1606502 1622825 2596520 3213004 3245650 4016255 6426008 6491300 8032510 8114125 12982600 16065020 16228250 20081275 32130040 32456500 40162550 64913000 80325100 100406375 111651889 160650200 200812750 223303778 375118217 401625500 446607556 558259445 750236434 803251000 893215112 1116518890 1500472868 1875591085 2233037780 2791297225 3000945736 3751182170 4466075560 5582594450 7502364340 9377955425 11165188900 13956486125 15004728680 18755910850 22330377800 27912972250 37511821700 46889777125 52141432163 55825944500 75023643400 93779554250 104282864326 111651889000 187559108500 208565728652 260707160815 375118217000 417131457304 521414321630 1042828643260 1303535804075 2085657286520 2607071608150 5214143216300 6517679020375 10428286432600 13035358040750 26070716081500 52141432163000