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72852308334 = 2351317678289
BaseRepresentation
bin100001111011001010…
…1100000000101101110
320222001012110201100000
41003312111200011232
52143200142331314
653245021445130
75156230255251
oct1036625400556
9228035421300
1072852308334
1128995257593
12121521107a6
136b4035a870
143751775098
151d65c2e209
hex10f656016e

72852308334 has 96 divisors (see below), whose sum is σ = 186654555360. Its totient is φ = 21097469952.

The previous prime is 72852308303. The next prime is 72852308363. The reversal of 72852308334 is 43380325827.

72852308334 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 2 + 308 + 334 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72852308334.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 231739 + ... + 446550.

It is an arithmetic number, because the mean of its divisors is an integer number (1944318285).

Almost surely, 272852308334 is an apocalyptic number.

72852308334 is an abundant number, since it is smaller than the sum of its proper divisors (113802247026).

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

72852308334 is a wasteful number, since it uses less digits than its factorization.

72852308334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678336 (or 678324 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 72852308334 in words is "seventy-two billion, eight hundred fifty-two million, three hundred eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 243 306 351 442 459 486 663 702 918 1053 1326 1377 1989 2106 2754 3159 3978 4131 5967 6318 8262 11934 17901 35802 53703 107406 678289 1356578 2034867 4069734 6104601 8817757 11530913 12209202 17635514 18313803 23061826 26453271 34592739 36627606 52906542 54941409 69185478 79359813 103778217 109882818 149901869 158719626 164824227 207556434 238079439 299803738 311334651 329648454 449705607 476158878 622669302 714238317 899411214 934003953 1349116821 1428476634 1868007906 2142714951 2698233642 2802011859 4047350463 4285429902 5604023718 8094700926 12142051389 24284102778 36426154167 72852308334