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4979556864 = 2933438377
BaseRepresentation
bin1001010001100111…
…00000001000000000
3110212000220200212000
410220303200020000
540144231304424
62142041104000
7234253351332
oct45063401000
913760820760
104979556864
112125914857
12b6b788000
13614851869
1435349d452
151e22693c9
hex128ce0200

4979556864 has 160 divisors (see below), whose sum is σ = 15084421440. Its totient is φ = 1621057536.

The previous prime is 4979556847. The next prime is 4979556913. The reversal of 4979556864 is 4686559794.

4979556864 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 5 + 568 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590244 + ... + 598620.

It is an arithmetic number, because the mean of its divisors is an integer number (94277634).

Almost surely, 24979556864 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 4979556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542210720).

4979556864 is an abundant number, since it is smaller than the sum of its proper divisors (10104864576).

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

4979556864 is an equidigital number, since it uses as much as digits as its factorization.

4979556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447 (or 8425 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 4979556864 is about 70565.9752572017. The cubic root of 4979556864 is about 1707.6422785591.

The spelling of 4979556864 in words is "four billion, nine hundred seventy-nine million, five hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 512 516 576 688 768 774 864 1032 1152 1161 1376 1536 1548 1728 2064 2304 2322 2752 3096 3456 4128 4608 4644 5504 6192 6912 8256 8377 9288 11008 12384 13824 16512 16754 18576 22016 24768 25131 33024 33508 37152 49536 50262 66048 67016 74304 75393 99072 100524 134032 148608 150786 198144 201048 226179 268064 297216 301572 360211 402096 452358 536128 594432 603144 720422 804192 904716 1072256 1080633 1206288 1440844 1608384 1809432 2144512 2161266 2412576 2881688 3216768 3241899 3618864 4289024 4322532 4825152 5763376 6433536 6483798 7237728 8645064 9650304 9725697 11526752 12867072 12967596 14475456 17290128 19300608 19451394 23053504 25935192 28950912 34580256 38601216 38902788 46107008 51870384 57901824 69160512 77805576 92214016 103740768 115803648 138321024 155611152 184428032 207481536 276642048 311222304 414963072 553284096 622444608 829926144 1244889216 1659852288 2489778432 4979556864