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42553144135524 = 22311322372304057
BaseRepresentation
bin10011010110011101011010…
…00010100100111101100100
312120200001002210001101020210
421223032231002210331210
521034142314344314044
6230300351115455420
711651235403112661
oct1153165502447544
9176601083041223
1042553144135524
1112616761562a10
124933101a57570
131a9898a228629
14a718242c4a68
154dbd892381b9
hex26b3ad0a4f64

42553144135524 has 24 divisors (see below), whose sum is σ = 108317094163488. Its totient is φ = 12894892162240.

The previous prime is 42553144135501. The next prime is 42553144135531.

It is a happy number.

42553144135524 is nontrivially palindromic in base 10.

42553144135524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161186151897 + ... + 161186152160.

It is an arithmetic number, because the mean of its divisors is an integer number (4513212256812).

Almost surely, 242553144135524 is an apocalyptic number.

42553144135524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42553144135524 is an abundant number, since it is smaller than the sum of its proper divisors (65763950027964).

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

42553144135524 is a wasteful number, since it uses less digits than its factorization.

42553144135524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322372304075 (or 322372304073 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The spelling of 42553144135524 in words is "forty-two trillion, five hundred fifty-three billion, one hundred forty-four million, one hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 322372304057 644744608114 967116912171 1289489216228 1934233824342 3546095344627 3868467648684 7092190689254 10638286033881 14184381378508 21276572067762 42553144135524