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52152015105432 = 23331123119497837
BaseRepresentation
bin10111101101110100101100…
…10101011010110110011000
320211122200110121020120222000
423312322112111122312120
523313424311331333212
6302530145513401000
713661600360124324
oct1366722625326630
9224580417216860
1052152015105432
11156875aaa21610
125a234b0409160
132313bb5b6c478
14cc4257316984
156068d85b51dc
hex2f6e9655ad98

52152015105432 has 128 divisors (see below), whose sum is σ = 158104810483200. Its totient is φ = 15796800835200.

The previous prime is 52152015105409. The next prime is 52152015105433. The reversal of 52152015105432 is 23450151025125.

52152015105432 is a `hidden beast` number, since 5 + 2 + 1 + 5 + 201 + 5 + 10 + 5 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52152015105433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742018 + ... + 10239854.

It is an arithmetic number, because the mean of its divisors is an integer number (1235193831900).

Almost surely, 252152015105432 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 52152015105432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79052405241600).

52152015105432 is an abundant number, since it is smaller than the sum of its proper divisors (105952795377768).

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

52152015105432 is a wasteful number, since it uses less digits than its factorization.

52152015105432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500174 (or 9500164 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 52152015105432 in words is "fifty-two trillion, one hundred fifty-two billion, fifteen million, one hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2311 2376 4622 6933 9244 13866 18488 20799 25421 27732 41598 50842 55464 62397 76263 83196 101684 124794 152526 166392 203368 228789 249588 305052 457578 499176 610104 686367 915156 1372734 1830312 2745468 5490936 9497837 18995674 28493511 37991348 56987022 75982696 85480533 104476207 113974044 170961066 208952414 227948088 256441599 313428621 341922132 417904828 512883198 626857242 683844264 835809656 940285863 1025766396 1253714484 1880571726 2051532792 2507428968 2820857589 3761143452 5641715178 7522286904 11283430356 21949501307 22566860712 43899002614 65848503921 87798005228 131697007842 175596010456 197545511763 241444514377 263394015684 395091023526 482889028754 526788031368 592636535289 724333543131 790182047052 965778057508 1185273070578 1448667086262 1580364094104 1931556115016 2173000629393 2370546141156 2897334172524 4346001258786 4741092282312 5794668345048 6519001888179 8692002517572 13038003776358 17384005035144 26076007552716 52152015105432