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52008122180025 = 32521129397149841
BaseRepresentation
bin10111101001101000101011…
…01001011110000110111001
320211010221001110022121111100
423310310111221132012321
523304100113234230100
6302340111304522013
713645314515340264
oct1364642551360671
9224127043277440
1052008122180025
1115631580137a50
1259bb632a80309
13230346390871b
14cbb2c6a87cdb
15602cb5c1e400
hex2f4d15a5e1b9

52008122180025 has 72 divisors (see below), whose sum is σ = 101655309581280. Its totient is φ = 25207475904000.

The previous prime is 52008122179931. The next prime is 52008122180041.

52008122180025 is a `hidden beast` number, since 520 + 0 + 8 + 12 + 21 + 80 + 0 + 25 = 666.

52008122180025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52008122180025 - 212 = 52008122175929 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3699105 + ... + 10848945.

It is an arithmetic number, because the mean of its divisors is an integer number (1411879299740).

Almost surely, 252008122180025 is an apocalyptic number.

52008122180025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52008122180025 is a deficient number, since it is larger than the sum of its proper divisors (49647187401255).

52008122180025 is a wasteful number, since it uses less digits than its factorization.

52008122180025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152807 (or 7152799 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 5200812 and 2180025, that added together give a palindrome (7380837).

The spelling of 52008122180025 in words is "fifty-two trillion, eight billion, one hundred twenty-two million, one hundred eighty thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 2939 8817 14695 26451 32329 44085 73475 96987 132255 161645 220425 290961 484935 661275 808225 1454805 2424675 7149841 7274025 21449523 35749205 64348569 78648251 107247615 178746025 235944753 321742845 393241255 536238075 707834259 1179723765 1608714225 1966206275 3539171295 5898618825 17695856475 21013382699 63040148097 105066913495 189120444291 231147209689 315200740485 525334567475 693441629067 945602221455 1155736048445 1576003702425 2080324887201 3467208145335 4728011107275 5778680242225 10401624436005 17336040726675 52008122180025