Search a number
-
+
82634324476288 = 2713131379084357
BaseRepresentation
bin10010110010011111001101…
…100011101000000110000000
3101211120202122011002222200211
4102302133031203220012000
541312340044031220123
6451425403512323504
723256063410530024
oct2262371543500600
9354522564088624
1082634324476288
112436a0249925a2
1293271040a3594
1337154ca328090
1416597461cc384
15984795d7940d
hex4b27cd8e8180

82634324476288 has 64 divisors (see below), whose sum is σ = 178639712863920. Its totient is φ = 37847782103040.

The previous prime is 82634324476241. The next prime is 82634324476309. The reversal of 82634324476288 is 88267442343628.

It is a happy number.

82634324476288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189324195 + ... + 189760162.

Almost surely, 282634324476288 is an apocalyptic number.

It is an amenable number.

82634324476288 is an abundant number, since it is smaller than the sum of its proper divisors (96005388387632).

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

82634324476288 is a wasteful number, since it uses less digits than its factorization.

82634324476288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379084515 (or 379084503 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 67.

The spelling of 82634324476288 in words is "eighty-two trillion, six hundred thirty-four billion, three hundred twenty-four million, four hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 208 262 416 524 832 1048 1664 1703 2096 3406 4192 6812 8384 13624 16768 27248 54496 108992 217984 379084357 758168714 1516337428 3032674856 4928096641 6065349712 9856193282 12130699424 19712386564 24261398848 39424773128 48522797696 49660050767 78849546256 99320101534 157699092512 198640203068 315398185024 397280406136 630796370048 645580659971 794560812272 1291161319942 1589121624544 2582322639884 3178243249088 5164645279768 6356486498176 10329290559536 20658581119072 41317162238144 82634324476288