Search a number
-
+
641441903616 = 2103273953437
BaseRepresentation
bin10010101010110001110…
…10101011010000000000
32021022200012002212220100
421111120322223100000
541002133111403431
61210401354042400
764225346135313
oct11253072532000
92238605085810
10641441903616
11228041261118
12a4395719400
1348645670677
142309015097a
1511a432254e6
hex9558eab400

641441903616 has 132 divisors (see below), whose sum is σ = 1877523457732. Its totient is φ = 210884788224.

The previous prime is 641441903587. The next prime is 641441903617. The reversal of 641441903616 is 616309144146.

641441903616 is a `hidden beast` number, since 6 + 4 + 14 + 4 + 19 + 0 + 3 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 530216985600 + 111224918016 = 728160^2 + 333504^2 .

It is a super-2 number, since 2×6414419036162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641441903617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196050 + ... + 1149486.

Almost surely, 2641441903616 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 641441903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938761728866).

641441903616 is an abundant number, since it is smaller than the sum of its proper divisors (1236081554116).

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

641441903616 is a wasteful number, since it uses less digits than its factorization.

641441903616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953536 (or 953515 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 641441903616 in words is "six hundred forty-one billion, four hundred forty-one million, nine hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2304 2336 2628 3072 3504 4608 4672 5256 7008 9216 9344 10512 14016 18688 21024 28032 37376 42048 56064 74752 84096 112128 168192 224256 336384 672768 953437 1906874 2860311 3813748 5720622 7627496 8580933 11441244 15254992 17161866 22882488 30509984 34323732 45764976 61019968 68647464 69600901 91529952 122039936 137294928 139201802 183059904 208802703 244079872 274589856 278403604 366119808 417605406 488159744 549179712 556807208 626408109 732239616 835210812 976319488 1098359424 1113614416 1252816218 1464479232 1670421624 2196718848 2227228832 2505632436 2928958464 3340843248 4393437696 4454457664 5011264872 6681686496 8786875392 8908915328 10022529744 13363372992 17817830656 20045059488 26726745984 35635661312 40090118976 53453491968 71271322624 80180237952 106906983936 160360475904 213813967872 320720951808 641441903616