Search a number
-
+
646104546216 = 233431103312269
BaseRepresentation
bin10010110011011101101…
…01001111101110101000
32021202201010200200010000
421121232311033232220
541041210230434331
61212452154423000
764452034012443
oct11315665175650
92252633620100
10646104546216
1122a014199558
12a5277131a60
1348c0965169c
14233b34b665a
1511c1773e0e6
hex966ed4fba8

646104546216 has 160 divisors (see below), whose sum is σ = 1886210726400. Its totient is φ = 206396657280.

The previous prime is 646104546181. The next prime is 646104546223. The reversal of 646104546216 is 612645401646.

646104546216 is a `hidden beast` number, since 6 + 4 + 6 + 10 + 4 + 5 + 4 + 621 + 6 = 666.

It is a super-4 number, since 4×6461045462164 (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1912930 + ... + 2225198.

It is an arithmetic number, because the mean of its divisors is an integer number (11788817040).

Almost surely, 2646104546216 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 646104546216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943105363200).

646104546216 is an abundant number, since it is smaller than the sum of its proper divisors (1240106180184).

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

646104546216 is a wasteful number, since it uses less digits than its factorization.

646104546216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312421 (or 312408 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 646104546216 in words is "six hundred forty-six billion, one hundred four million, five hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 103 108 124 162 186 206 216 248 279 309 324 372 412 558 618 648 744 824 837 927 1116 1236 1674 1854 2232 2472 2511 2781 3193 3348 3708 5022 5562 6386 6696 7416 8343 9579 10044 11124 12772 16686 19158 20088 22248 25544 28737 33372 38316 57474 66744 76632 86211 114948 172422 229896 258633 312269 344844 517266 624538 689688 936807 1034532 1249076 1873614 2069064 2498152 2810421 3747228 5620842 7494456 8431263 9680339 11241684 16862526 19360678 22483368 25293789 29041017 32163707 33725052 38721356 50587578 58082034 64327414 67450104 77442712 87123051 96491121 101175156 116164068 128654828 174246102 192982242 202350312 232328136 257309656 261369153 289473363 348492204 385964484 522738306 578946726 696984408 771928968 784107459 868420089 997074917 1045476612 1157893452 1568214918 1736840178 1994149834 2090953224 2315786904 2605260267 2991224751 3136429836 3473680356 3988299668 5210520534 5982449502 6272859672 6947360712 7976599336 8973674253 10421041068 11964899004 17947348506 20842082136 23929798008 26921022759 35894697012 53842045518 71789394024 80763068277 107684091036 161526136554 215368182072 323052273108 646104546216