Search a number
-
+
661540171284 = 2232592636071951
BaseRepresentation
bin10011010000001101101…
…11011110111000010100
32100020112212112200001100
421220012313132320110
541314313240440114
61223523553430100
765536403451006
oct11500667367024
92306485480040
10661540171284
112356151a9093
12a826456b330
134a4c9503445
14240394d6376
151231c902909
hex9a06ddee14

661540171284 has 144 divisors (see below), whose sum is σ = 1710724055040. Its totient is φ = 215485358400.

The previous prime is 661540171277. The next prime is 661540171319. The reversal of 661540171284 is 482171045166.

661540171284 is a `hidden beast` number, since 6 + 6 + 1 + 540 + 17 + 12 + 84 = 666.

661540171284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339076509 + ... + 339078459.

It is an arithmetic number, because the mean of its divisors is an integer number (11880028160).

Almost surely, 2661540171284 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 661540171284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855362027520).

661540171284 is an abundant number, since it is smaller than the sum of its proper divisors (1049183883756).

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

661540171284 is a wasteful number, since it uses less digits than its factorization.

661540171284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 661540171284 in words is "six hundred sixty-one billion, five hundred forty million, one hundred seventy-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 263 354 526 531 607 708 789 1052 1062 1214 1578 1821 1951 2124 2367 2428 3156 3642 3902 4734 5463 5853 7284 7804 9468 10926 11706 15517 17559 21852 23412 31034 35118 35813 46551 62068 70236 71626 93102 107439 115109 139653 143252 159641 186204 214878 230218 279306 319282 322317 345327 429756 460436 478923 513113 558612 638564 644634 690654 957846 1026226 1035981 1184257 1289268 1381308 1436769 1539339 1915692 2052452 2071962 2368514 2873538 3078678 3552771 4143924 4618017 4737028 5747076 6157356 7105542 9236034 9418819 10658313 14211084 18472068 18837638 21316626 28256457 30273667 37675276 42633252 56512914 60547334 69871163 84769371 90821001 113025828 121094668 139742326 169538742 181642002 209613489 272463003 279484652 311459591 339077484 363284004 419226978 544926006 622919182 628840467 838453956 934378773 1089852012 1245838364 1257680934 1868757546 2515361868 2803136319 3737515092 5606272638 11212545276 18376115869 36752231738 55128347607 73504463476 110256695214 165385042821 220513390428 330770085642 661540171284