Search a number
-
+
12003522144 = 253155380513
BaseRepresentation
bin10110010110111011…
…10011011001100000
31010222112202002211020
423023131303121200
5144040400202034
65303033045440
7603313153245
oct131335633140
933875662736
1012003522144
1150aa747939
1223abb56880
131193ac8a33
1481c2975cc
154a3c19249
hex2cb773660

12003522144 has 48 divisors (see below), whose sum is σ = 31529926512. Its totient is φ = 3998547968.

The previous prime is 12003522107. The next prime is 12003522161. The reversal of 12003522144 is 44122530021.

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

It is a super-2 number, since 2×120035221442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 108832 + ... + 189344.

It is an arithmetic number, because the mean of its divisors is an integer number (656873469).

Almost surely, 212003522144 is an apocalyptic number.

It is an amenable number.

12003522144 is an abundant number, since it is smaller than the sum of its proper divisors (19526404368).

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

12003522144 is a wasteful number, since it uses less digits than its factorization.

12003522144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82079 (or 82071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 12003522144 in words is "twelve billion, three million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1553 3106 4659 6212 9318 12424 18636 24848 37272 49696 74544 80513 149088 161026 241539 322052 483078 644104 966156 1288208 1932312 2576416 3864624 7729248 125036689 250073378 375110067 500146756 750220134 1000293512 1500440268 2000587024 3000880536 4001174048 6001761072 12003522144