Search a number
-
+
638613782664 = 23311131371358221
BaseRepresentation
bin10010100101100000101…
…10010000000010001000
32021001101002111110021220
421102300112100002020
540430340112021124
61205213005402040
764065305405604
oct11226026200210
92231332443256
10638613782664
1122691a916a80
12a3926569320
13482b4778810
1422ca26ca504
1511929cd3879
hex94b0590088

638613782664 has 128 divisors (see below), whose sum is σ = 1889341130880. Its totient is φ = 177329203200.

The previous prime is 638613782647. The next prime is 638613782669. The reversal of 638613782664 is 466287316836.

It is a junction number, because it is equal to n+sod(n) for n = 638613782598 and 638613782607.

It is not an unprimeable number, because it can be changed into a prime (638613782669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208927 + ... + 1149294.

It is an arithmetic number, because the mean of its divisors is an integer number (14760477585).

Almost surely, 2638613782664 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 638613782664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944670565440).

638613782664 is an abundant number, since it is smaller than the sum of its proper divisors (1250727348216).

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

638613782664 is a wasteful number, since it uses less digits than its factorization.

638613782664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358391 (or 1358387 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 638613782664 in words is "six hundred thirty-eight billion, six hundred thirteen million, seven hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 137 143 156 264 274 286 312 411 429 548 572 822 858 1096 1144 1507 1644 1716 1781 3014 3288 3432 3562 4521 5343 6028 7124 9042 10686 12056 14248 18084 19591 21372 36168 39182 42744 58773 78364 117546 156728 235092 470184 1358221 2716442 4074663 5432884 8149326 10865768 14940431 16298652 17656873 29880862 32597304 35313746 44821293 52970619 59761724 70627492 89642586 105941238 119523448 141254984 179285172 186076277 194225603 211882476 358570344 372152554 388451206 423764952 558228831 582676809 744305108 776902412 1116457662 1165353618 1488610216 1553804824 2046839047 2232915324 2330707236 2418991601 4093678094 4465830648 4661414472 4837983202 6140517141 7256974803 8187356188 9675966404 12281034282 14513949606 16374712376 19351932808 24562068564 26608907611 29027899212 49124137128 53217815222 58055798424 79826722833 106435630444 159653445666 212871260888 319306891332 638613782664