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16161456000640 = 27525252275001
BaseRepresentation
bin1110101100101110000111…
…0110000000111010000000
32010020000112122201110010011
43223023201312000322000
54104242130214010030
654212245334314304
73255424642253506
oct353134166007200
963200478643104
1016161456000640
115171042647445
121990246ab8994
139030322b0172
143dc30bd60676
151d05e35c0b2a
hexeb2e1d80e80

16161456000640 has 32 divisors (see below), whose sum is σ = 38635980753060. Its totient is φ = 6464582400000.

The previous prime is 16161456000629. The next prime is 16161456000761. The reversal of 16161456000640 is 4600065416161.

It can be written as a sum of positive squares in 2 ways, for example, as 15299425456704 + 862030543936 = 3911448^2 + 928456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×161614560006402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16161456000593 and 16161456000602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12626136861 + ... + 12626138140.

Almost surely, 216161456000640 is an apocalyptic number.

16161456000640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16161456000640 is an abundant number, since it is smaller than the sum of its proper divisors (22474524752420).

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

16161456000640 is an equidigital number, since it uses as much as digits as its factorization.

16161456000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25252275020 (or 25252275008 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 16161456000640 in words is "sixteen trillion, one hundred sixty-one billion, four hundred fifty-six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 25252275001 50504550002 101009100004 126261375005 202018200008 252522750010 404036400016 505045500020 808072800032 1010091000040 1616145600064 2020182000080 3232291200128 4040364000160 8080728000320 16161456000640