Search a number
-
+
544358809603332 = 22339777896671263
BaseRepresentation
bin111101111000101110110100…
…1011110100000110100000100
32122101102012020101202202221000
41323301131221132200310010
51032322233320224301312
65205430552415053300
7222442424523364533
oct17361355136406404
92571365211682830
10544358809603332
111484a4302686169
1251078473b11230
131a498a7a801619
14985d16d71a31a
1542e004dc46adc
hex1ef17697a0d04

544358809603332 has 96 divisors (see below), whose sum is σ = 1426033381606400. Its totient is φ = 179559204903936.

The previous prime is 544358809603319. The next prime is 544358809603333. The reversal of 544358809603332 is 233306908853445.

It is a happy number.

544358809603332 is a `hidden beast` number, since 5 + 4 + 43 + 588 + 0 + 9 + 6 + 0 + 3 + 3 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 544358809603332.

It is not an unprimeable number, because it can be changed into a prime (544358809603333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78261933 + ... + 84933195.

Almost surely, 2544358809603332 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 544358809603332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713016690803200).

544358809603332 is an abundant number, since it is smaller than the sum of its proper divisors (881674572003068).

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

544358809603332 is a wasteful number, since it uses less digits than its factorization.

544358809603332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679162 (or 6679154 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 544358809603332 in words is "five hundred forty-four trillion, three hundred fifty-eight billion, eight hundred nine million, six hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 7789 10476 15578 23367 31156 46734 70101 93468 140202 210303 280404 420606 755533 841212 1511066 2266599 3022132 4533198 6671263 6799797 9066396 13342526 13599594 20013789 20399391 26685052 27199188 40027578 40798782 60041367 80055156 81597564 120082734 180124101 240165468 360248202 647112511 720496404 1294225022 1941337533 2588450044 3882675066 5824012599 7765350132 11648025198 17472037797 23296050396 34944075594 51962467507 69888151188 103924935014 155887402521 207849870028 311774805042 467662207563 623549610084 935324415126 1402986622689 1870648830252 2805973245378 5040359348179 5611946490756 10080718696358 15121078044537 20161437392716 30242156089074 45363234133611 60484312178148 90726468267222 136089702400833 181452936534444 272179404801666 544358809603332