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616246066464 = 253721271031533
BaseRepresentation
bin10001111011110110010…
…00001011110100100000
32011220122020200202000120
420331323020023310200
540044032443111324
61151033255520240
762344103065200
oct10757310136440
92156566622016
10616246066464
11218391925806
129b523689080
134615b6a98a2
1421b7db8a400
151106b26c179
hex8f7b20bd20

616246066464 has 144 divisors (see below), whose sum is σ = 1896570160128. Its totient is φ = 174683755008.

The previous prime is 616246066463. The next prime is 616246066477. The reversal of 616246066464 is 464660642616.

It is not an unprimeable number, because it can be changed into a prime (616246066463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81642 + ... + 1113174.

It is an arithmetic number, because the mean of its divisors is an integer number (13170626112).

Almost surely, 2616246066464 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 616246066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948285080064).

616246066464 is an abundant number, since it is smaller than the sum of its proper divisors (1280324093664).

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

616246066464 is a wasteful number, since it uses less digits than its factorization.

616246066464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031687 (or 1031672 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 616246066464 in words is "six hundred sixteen billion, two hundred forty-six million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 127 147 168 196 224 254 294 336 381 392 508 588 672 762 784 889 1016 1176 1524 1568 1778 2032 2352 2667 3048 3556 4064 4704 5334 6096 6223 7112 10668 12192 12446 14224 18669 21336 24892 28448 37338 42672 49784 74676 85344 99568 149352 199136 298704 597408 1031533 2063066 3094599 4126132 6189198 7220731 8252264 12378396 14441462 16504528 21662193 24756792 28882924 33009056 43324386 49513584 50545117 57765848 86648772 99027168 101090234 115531696 131004691 151635351 173297544 202180468 231063392 262009382 303270702 346595088 393014073 404360936 524018764 606541404 693190176 786028146 808721872 917032837 1048037528 1213082808 1572056292 1617443744 1834065674 2096075056 2426165616 2751098511 3144112584 3668131348 4192150112 4852331232 5502197022 6288225168 6419229859 7336262696 11004394044 12576450336 12838459718 14672525392 19257689577 22008788088 25676919436 29345050784 38515379154 44017576176 51353838872 77030758308 88035152352 102707677744 154061516616 205415355488 308123033232 616246066464