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64278074160 = 2432590798429
BaseRepresentation
bin111011110111010001…
…011001001100110000
320010220122112111020100
4323313101121030300
52023120141333120
645310130112400
74433604421056
oct736721311460
9203818474210
1064278074160
112529532a543
121055a71b700
1360a4b70811
14317ab101d6
151a13105490
hexef7459330

64278074160 has 120 divisors (see below), whose sum is σ = 216107395920. Its totient is φ = 17121747456.

The previous prime is 64278074149. The next prime is 64278074167. The reversal of 64278074160 is 6147087246.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64278074167) 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, 603826 + ... + 702254.

It is an arithmetic number, because the mean of its divisors is an integer number (1800894966).

Almost surely, 264278074160 is an apocalyptic number.

64278074160 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 64278074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108053697960).

64278074160 is an abundant number, since it is smaller than the sum of its proper divisors (151829321760).

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

64278074160 is a wasteful number, since it uses less digits than its factorization.

64278074160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99355 (or 99346 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 64278074160 in words is "sixty-four billion, two hundred seventy-eight million, seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 907 1814 2721 3628 4535 5442 7256 8163 9070 10884 13605 14512 16326 18140 21768 27210 32652 36280 40815 43536 54420 65304 72560 81630 98429 108840 130608 163260 196858 217680 295287 326520 393716 492145 590574 653040 787432 885861 984290 1181148 1476435 1574864 1771722 1968580 2362296 2952870 3543444 3937160 4429305 4724592 5905740 7086888 7874320 8858610 11811480 14173776 17717220 23622960 35434440 70868880 89275103 178550206 267825309 357100412 446375515 535650618 714200824 803475927 892751030 1071301236 1339126545 1428401648 1606951854 1785502060 2142602472 2678253090 3213903708 3571004120 4017379635 4285204944 5356506180 6427807416 7142008240 8034759270 10713012360 12855614832 16069518540 21426024720 32139037080 64278074160