Search a number
-
+
356255665540 = 225179716366271
BaseRepresentation
bin1010010111100100111…
…11100000110110000100
31021001120001212221020021
411023302133200312010
521314102422244130
6431354523144524
734511230123135
oct5136237406604
91231501787207
10356255665540
111280a6043475
1259065375144
1327796911778
14133585d3c8c
15940133e37a
hex52f27e0d84

356255665540 has 96 divisors (see below), whose sum is σ = 805233429504. Its totient is φ = 131920773120.

The previous prime is 356255665427. The next prime is 356255665541. The reversal of 356255665540 is 45566552653.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (356255665541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5342605 + ... + 5408875.

It is an arithmetic number, because the mean of its divisors is an integer number (8387848224).

Almost surely, 2356255665540 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 356255665540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402616714752).

356255665540 is an abundant number, since it is smaller than the sum of its proper divisors (448977763964).

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

356255665540 is a wasteful number, since it uses less digits than its factorization.

356255665540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66557 (or 66555 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 52.

The spelling of 356255665540 in words is "three hundred fifty-six billion, two hundred fifty-five million, six hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 163 170 194 326 340 388 485 652 815 970 1630 1649 1940 2771 3260 3298 5542 6596 8245 11084 13855 15811 16490 27710 31622 32980 55420 63244 66271 79055 132542 158110 265084 268787 316220 331355 537574 662710 1075148 1126607 1325420 1343935 2253214 2687870 4506428 5375740 5633035 6428287 10802173 11266070 12856574 21604346 22532140 25713148 32141435 43208692 54010865 64282870 108021730 109280879 128565740 183636941 216043460 218561758 367273882 437123516 546404395 734547764 918184705 1047810781 1092808790 1836369410 2095621562 2185617580 3672738820 4191243124 5239053905 10478107810 17812783277 20956215620 35625566554 71251133108 89063916385 178127832770 356255665540