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64146101640 = 233513722317497
BaseRepresentation
bin111011101111011001…
…111101010110001000
320010120110012120222020
4323233121331112020
52022332400223030
645245053324440
74430412603405
oct735731752610
9203513176866
1064146101640
1125227890645
1210522496720
13608371427a
1431673992ac
151a06737510
hexeef67d588

64146101640 has 128 divisors (see below), whose sum is σ = 194723343360. Its totient is φ = 16903655424.

The previous prime is 64146101629. The next prime is 64146101659. The reversal of 64146101640 is 4610164146.

It is a super-2 number, since 2×641461016402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657372 + ... + 3674868.

It is an arithmetic number, because the mean of its divisors is an integer number (1521276120).

Almost surely, 264146101640 is an apocalyptic number.

64146101640 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 64146101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97361671680).

64146101640 is an abundant number, since it is smaller than the sum of its proper divisors (130577241720).

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

64146101640 is a wasteful number, since it uses less digits than its factorization.

64146101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17871 (or 17867 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 64146101640 its reverse (4610164146), we get a palindrome (68756265786).

The spelling of 64146101640 in words is "sixty-four billion, one hundred forty-six million, one hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 223 274 411 446 548 669 685 822 892 1096 1115 1338 1370 1644 1784 2055 2230 2676 2740 3288 3345 4110 4460 5352 5480 6690 8220 8920 13380 16440 17497 26760 30551 34994 52491 61102 69988 87485 91653 104982 122204 139976 152755 174970 183306 209964 244408 262455 305510 349940 366612 419928 458265 524910 611020 699880 733224 916530 1049820 1222040 1833060 2099640 2397089 3666120 3901831 4794178 7191267 7803662 9588356 11705493 11985445 14382534 15607324 19176712 19509155 23410986 23970890 28765068 31214648 35956335 39018310 46821972 47941780 57530136 58527465 71912670 78036620 93643944 95883560 117054930 143825340 156073240 234109860 287650680 468219720 534550847 1069101694 1603652541 2138203388 2672754235 3207305082 4276406776 5345508470 6414610164 8018262705 10691016940 12829220328 16036525410 21382033880 32073050820 64146101640