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64228868640 = 25325306714543
BaseRepresentation
bin111011110100010101…
…101100001000100000
320010210012221120221200
4323310111230020200
52023020042244030
645301211321200
74432436242536
oct736425541040
9203705846850
1064228868640
112526a581722
1210546150200
136097902c21
143174382156
151a0db35d60
hexef456c220

64228868640 has 144 divisors (see below), whose sum is σ = 219267554688. Its totient is φ = 17120936448.

The previous prime is 64228868633. The next prime is 64228868651. The reversal of 64228868640 is 4686882246.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4409209 + ... + 4423751.

It is an arithmetic number, because the mean of its divisors is an integer number (1522691352).

Almost surely, 264228868640 is an apocalyptic number.

64228868640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64228868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109633777344).

64228868640 is an abundant number, since it is smaller than the sum of its proper divisors (155038686048).

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

64228868640 is a wasteful number, since it uses less digits than its factorization.

64228868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17631 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 64228868640 in words is "sixty-four billion, two hundred twenty-eight million, eight hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3067 6134 9201 12268 14543 15335 18402 24536 27603 29086 30670 36804 43629 46005 49072 55206 58172 61340 72715 73608 87258 92010 98144 110412 116344 122680 130887 138015 145430 147216 174516 184020 218145 220824 232688 245360 261774 276030 290860 294432 349032 368040 436290 441648 465376 490720 523548 552060 581720 654435 698064 736080 872580 883296 1047096 1104120 1163440 1308870 1396128 1472160 1745160 2094192 2208240 2326880 2617740 3490320 4188384 4416480 5235480 6980640 10470960 20941920 44603381 89206762 133810143 178413524 223016905 267620286 356827048 401430429 446033810 535240572 669050715 713654096 802860858 892067620 1070481144 1338101430 1427308192 1605721716 1784135240 2007152145 2140962288 2676202860 3211443432 3568270480 4014304290 4281924576 5352405720 6422886864 7136540960 8028608580 10704811440 12845773728 16057217160 21409622880 32114434320 64228868640