Search a number
-
+
543425602306656 = 25319297930703019
BaseRepresentation
bin111101110001111100010000…
…1111111001100001001100000
32122021002222110120121020101210
41323203320201333030021200
51032211441113142303111
65203434135244030120
7222315130006265136
oct17343704177141140
92567088416536353
10543425602306656
1114817455a475933
1250b47632832340
131a42ba78358654
149829d21d61756
1542c5b312510a6
hex1ee3e21fcc260

543425602306656 has 48 divisors (see below), whose sum is σ = 1501570743220800. Its totient is φ = 171608084938368.

The previous prime is 543425602306597. The next prime is 543425602306667. The reversal of 543425602306656 is 656603206524345.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5434256023066562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 543425602306596 and 543425602306605.

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, 148965349686 + ... + 148965353333.

It is an arithmetic number, because the mean of its divisors is an integer number (31282723817100).

Almost surely, 2543425602306656 is an apocalyptic number.

It is an amenable number.

543425602306656 is an abundant number, since it is smaller than the sum of its proper divisors (958145140914144).

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

543425602306656 is a wasteful number, since it uses less digits than its factorization.

543425602306656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297930703051 (or 297930703043 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 57.

The spelling of 543425602306656 in words is "five hundred forty-three trillion, four hundred twenty-five billion, six hundred two million, three hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 297930703019 595861406038 893792109057 1191722812076 1787584218114 2383445624152 3575168436228 4766891248304 5660683357361 7150336872456 9533782496608 11321366714722 14300673744912 16982050072083 22642733429444 28601347489824 33964100144166 45285466858888 67928200288332 90570933717776 135856400576664 181141867435552 271712801153328 543425602306656