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2643141553704 = 233236710299357
BaseRepresentation
bin100110011101100111100…
…000110110111000101000
3100100200102002010220110200
4212131213200312320220
5321301123214204304
65342124212312200
7361650340340421
oct46354740667050
910320362126420
102643141553704
11929a4a5561a3
12368312912660
1316232a08ac42
1491d00634648
1548b4a537e39
hex26767836e28

2643141553704 has 24 divisors (see below), whose sum is σ = 7158508374810. Its totient is φ = 881047184544.

The previous prime is 2643141553681. The next prime is 2643141553711. The reversal of 2643141553704 is 4073551413462.

2643141553704 is a `hidden beast` number, since 2 + 64 + 31 + 4 + 1 + 553 + 7 + 0 + 4 = 666.

2643141553704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2588231004804 + 54910548900 = 1608798^2 + 234330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×26431415537044 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2643141553704.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18355149607 + ... + 18355149750.

Almost surely, 22643141553704 is an apocalyptic number.

2643141553704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2643141553704 is an abundant number, since it is smaller than the sum of its proper divisors (4515366821106).

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

2643141553704 is a wasteful number, since it uses less digits than its factorization.

2643141553704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36710299369 (or 36710299362 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2643141553704 in words is "two trillion, six hundred forty-three billion, one hundred forty-one million, five hundred fifty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 36710299357 73420598714 110130898071 146841197428 220261796142 293682394856 330392694213 440523592284 660785388426 881047184568 1321570776852 2643141553704