Search a number
-
+
640911326328 = 233271327524553
BaseRepresentation
bin10010101001110010100…
…10101011110001111000
32021021022012201202200200
421110321102223301320
541000041244420303
61210233002002200
764206244246620
oct11247122536170
92237265652620
10640911326328
1122789980a599
12a4267aa6360
134858c770900
142303d8b9880
1511a1186c3a3
hex95394abc78

640911326328 has 144 divisors (see below), whose sum is σ = 2148109675920. Its totient is φ = 169031536128.

The previous prime is 640911326299. The next prime is 640911326351. The reversal of 640911326328 is 823623119046.

640911326328 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 1 + 1 + 3 + 2 + 632 + 8 = 666.

640911326328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6409113263282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3677101 + ... + 3847452.

It is an arithmetic number, because the mean of its divisors is an integer number (14917428305).

Almost surely, 2640911326328 is an apocalyptic number.

It is an amenable number.

640911326328 is an abundant number, since it is smaller than the sum of its proper divisors (1507198349592).

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

640911326328 is a wasteful number, since it uses less digits than its factorization.

640911326328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524598 (or 7524578 counting only the distinct ones).

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

The spelling of 640911326328 in words is "six hundred forty billion, nine hundred eleven million, three hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9464 10647 12168 14196 21294 28392 42588 85176 7524553 15049106 22573659 30098212 45147318 52671871 60196424 67720977 90294636 97819189 105343742 135441954 158015613 180589272 195638378 210687484 270883908 293457567 316031226 391276756 421374968 474046839 541767816 586915134 632062452 684734323 782553512 880372701 948093678 1173830268 1264124904 1271649457 1369468646 1760745402 1896187356 2054202969 2347660536 2543298914 2738937292 3521490804 3792374712 3814948371 4108405938 5086597828 5477874584 6162608907 7042981608 7629896742 8216811876 8901546199 10173195656 11444845113 12325217814 15259793484 16433623752 17803092398 22889690226 24650435628 26704638597 30519586968 35606184796 45779380452 49300871256 53409277194 71212369592 80113915791 91558760904 106818554388 160227831582 213637108776 320455663164 640911326328