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538965386928 = 243219281701033
BaseRepresentation
bin1111101011111001101…
…01110010011010110000
31220112011102110110102100
413311330311302122300
532312300114340203
61051333002420400
753640031125453
oct7657465623260
91815142413370
10538965386928
11198634a01411
1288556501700
133ba93a64547
141c12c23349a
15e04689cea3
hex7d7cd726b0

538965386928 has 120 divisors (see below), whose sum is σ = 1593394199280. Its totient is φ = 169593661440.

The previous prime is 538965386917. The next prime is 538965386951. The reversal of 538965386928 is 829683569835.

538965386928 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 6 + 538 + 69 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418300 + ... + 1119332.

It is an arithmetic number, because the mean of its divisors is an integer number (13278284994).

Almost surely, 2538965386928 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 538965386928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796697099640).

538965386928 is an abundant number, since it is smaller than the sum of its proper divisors (1054428812352).

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

538965386928 is a wasteful number, since it uses less digits than its factorization.

538965386928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701347 (or 701338 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 538965386928 in words is "five hundred thirty-eight billion, nine hundred sixty-five million, three hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 281 304 342 456 562 684 843 912 1124 1368 1686 2248 2529 2736 3372 4496 5058 5339 6744 10116 10678 13488 16017 20232 21356 32034 40464 42712 48051 64068 85424 96102 128136 192204 256272 384408 701033 768816 1402066 2103099 2804132 4206198 5608264 6309297 8412396 11216528 12618594 13319627 16824792 25237188 26639254 33649584 39958881 50474376 53278508 79917762 100948752 106557016 119876643 159835524 196990273 213114032 239753286 319671048 393980546 479506572 590970819 639342096 787961092 959013144 1181941638 1575922184 1772912457 1918026288 2363883276 3151844368 3545824914 3742815187 4727766552 7091649828 7485630374 9455533104 11228445561 14183299656 14971260748 22456891122 28366599312 29942521496 33685336683 44913782244 59885042992 67370673366 89827564488 134741346732 179655128976 269482693464 538965386928