Search a number
-
+
528055055748 = 2232117965325849
BaseRepresentation
bin1111010111100101000…
…10001011010110000100
31212111000001202012200100
413223302202023112010
532122424043240443
61042330220244100
753102460625653
oct7536242132604
91774001665610
10528055055748
11193a46349090
12864106a0630
133aa455a418c
141b7b522519a
15db08b223d3
hex7af288b584

528055055748 has 144 divisors (see below), whose sum is σ = 1476899424000. Its totient is φ = 157743106560.

The previous prime is 528055055729. The next prime is 528055055771. The reversal of 528055055748 is 847550550825.

528055055748 is a `hidden beast` number, since 5 + 2 + 80 + 5 + 5 + 0 + 557 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 528055055694 and 528055055703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20415528 + ... + 20441376.

It is an arithmetic number, because the mean of its divisors is an integer number (10256246000).

Almost surely, 2528055055748 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 528055055748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738449712000).

528055055748 is an abundant number, since it is smaller than the sum of its proper divisors (948844368252).

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

528055055748 is a wasteful number, since it uses less digits than its factorization.

528055055748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26602 (or 26597 counting only the distinct ones).

The product of its (nonzero) digits is 11200000, while the sum is 54.

The spelling of 528055055748 in words is "five hundred twenty-eight billion, fifty-five million, fifty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 653 711 869 948 1306 1422 1738 1959 2607 2612 2844 3476 3918 5214 5877 7183 7821 7836 10428 11754 14366 15642 21549 23508 25849 28732 31284 43098 51587 51698 64647 77547 86196 103174 103396 129294 154761 155094 206348 232641 258588 284339 309522 310188 464283 465282 567457 568678 619044 853017 928566 930564 1134914 1137356 1702371 1706034 1857132 2042071 2269828 2559051 3404742 3412068 4084142 5107113 5118102 6126213 6809484 8168284 10214226 10236204 12252426 16879397 18378639 20428452 22462781 24504852 33758794 36757278 44925562 50638191 67388343 67517588 73514556 89851124 101276382 134776686 151914573 185673367 202165029 202552764 269553372 303829146 371346734 404330058 557020101 607658292 742693468 808660116 1114040202 1333472363 1671060303 2228080404 2666944726 3342120606 4000417089 5333889452 6684241212 8000834178 12001251267 14668195993 16001668356 24002502534 29336391986 44004587979 48005005068 58672783972 88009175958 132013763937 176018351916 264027527874 528055055748