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10348137522 = 232239772
BaseRepresentation
bin10011010001100110…
…00000110000110010
3222201011211212000200
421220303000300302
5132143110400042
64430500300030
7514302501102
oct115063006062
928634755020
1010348137522
114430287978
1220096a1616
13c8bb709c8
147024a7202
15408729c4c
hex268cc0c32

10348137522 has 18 divisors (see below), whose sum is σ = 22421899773. Its totient is φ = 3449235312.

The previous prime is 10348137521. The next prime is 10348137563. The reversal of 10348137522 is 22573184301.

10348137522 is a `hidden beast` number, since 103 + 481 + 3 + 75 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10302047001 + 46090521 = 101499^2 + 6789^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71931.

It is not an unprimeable number, because it can be changed into a prime (10348137521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 419598 + ... + 443574.

Almost surely, 210348137522 is an apocalyptic number.

10348137522 is an abundant number, since it is smaller than the sum of its proper divisors (12073762251).

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

10348137522 is an frugal number, since it uses more digits than its factorization.

10348137522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47962 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10348137522 in words is "ten billion, three hundred forty-eight million, one hundred thirty-seven thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 23977 47954 71931 143862 215793 431586 574896529 1149793058 1724689587 3449379174 5174068761 10348137522