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641406531326560 = 25525794371652899
BaseRepresentation
bin1001000111010110110001100…
…0011101001101001001100000
310010010000212100222122202012021
42101311230120131031021200
51133032301034004422220
610152054032004311224
7252050043531331306
oct22165543035151140
93103025328582167
10641406531326560
1117640aa8955564a
125bb30a716a2514
13216b84b7b79b0c
14b456355550276
154e246c86374aa
hex2475b1874d260

641406531326560 has 96 divisors (see below), whose sum is σ = 1521381246184800. Its totient is φ = 255537078730752.

The previous prime is 641406531326453. The next prime is 641406531326623. The reversal of 641406531326560 is 65623135604146.

It is a super-2 number, since 2×6414065313265602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641406531326498 and 641406531326507.

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, 387222991 + ... + 388875889.

It is an arithmetic number, because the mean of its divisors is an integer number (15847721314425).

Almost surely, 2641406531326560 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 641406531326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760690623092400).

641406531326560 is an abundant number, since it is smaller than the sum of its proper divisors (879974714858240).

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

641406531326560 is a wasteful number, since it uses less digits than its factorization.

641406531326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662608 (or 1662600 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 641406531326560 in words is "six hundred forty-one trillion, four hundred six billion, five hundred thirty-one million, three hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 514 1028 1285 2056 2570 4112 5140 8224 9437 10280 18874 20560 37748 41120 47185 75496 94370 150992 188740 301984 377480 754960 1509920 1652899 2425309 3305798 4850618 6611596 8264495 9701236 12126545 13223192 16528990 19402472 24253090 26446384 33057980 38804944 48506180 52892768 66115960 77609888 97012360 132231920 194024720 264463840 388049440 424795043 849590086 1699180172 2123975215 3398360344 4247950430 6796720688 8495900860 13593441376 15598407863 16991801720 31196815726 33983603440 62393631452 67967206880 77992039315 124787262904 155984078630 249574525808 311968157260 499149051616 623936314520 1247872629040 2495745258080 4008790820791 8017581641582 16035163283164 20043954103955 32070326566328 40087908207910 64140653132656 80175816415820 128281306265312 160351632831640 320703265663280 641406531326560