Search a number
-
+
256734145452680 = 23571753935744843
BaseRepresentation
bin111010010111111110010011…
…100010101001101010001000
31020200000112201000111222201222
4322113332103202221222020
5232122313012213441210
62310010012130501212
7105035300312656310
oct7227762342515210
91220015630458658
10256734145452680
1174892381076465
1224964969a34808
13b033c0666153c
144757ddb144440
151ea339e770655
hexe97f938a9a88

256734145452680 has 64 divisors (see below), whose sum is σ = 699007253178240. Its totient is φ = 82845304077312.

The previous prime is 256734145452679. The next prime is 256734145452683. The reversal of 256734145452680 is 86254541437652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (256734145452683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26967867662 + ... + 26967877181.

It is an arithmetic number, because the mean of its divisors is an integer number (10921988330910).

Almost surely, 2256734145452680 is an apocalyptic number.

256734145452680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256734145452680 is an abundant number, since it is smaller than the sum of its proper divisors (442273107725560).

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

256734145452680 is a wasteful number, since it uses less digits than its factorization.

256734145452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53935744878 (or 53935744874 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 62.

The spelling of 256734145452680 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, one hundred forty-five million, four hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 53935744843 107871489686 215742979372 269678724215 377550213901 431485958744 539357448430 755100427802 916907662331 1078714896860 1510200855604 1833815324662 1887751069505 2157429793720 3020401711208 3667630649324 3775502139010 4584538311655 6418353636317 7335261298648 7551004278020 9169076623310 12836707272634 15102008556040 18338153246620 25673414545268 32091768181585 36676306493240 51346829090536 64183536363170 128367072726340 256734145452680