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10154514042 = 232564139669
BaseRepresentation
bin10010111010100000…
…11001011001111010
3222012200111202112200
421131100121121322
5131244023422132
64355342251030
7506431642131
oct113520313172
928180452480
1010154514042
114340a5a772
121b74886a76
13c5aa09bba
146c48a4918
153e672ed7c
hex25d41967a

10154514042 has 12 divisors (see below), whose sum is σ = 22001447130. Its totient is φ = 3384838008.

The previous prime is 10154513953. The next prime is 10154514059. The reversal of 10154514042 is 24041545101.

10154514042 is a `hidden beast` number, since 101 + 5 + 4 + 514 + 0 + 42 = 666.

10154514042 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., 8060627961 + 2093886081 = 89781^2 + 45759^2 .

It is a super-2 number, since 2×101545140422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10154513997 and 10154514015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282069817 + ... + 282069852.

Almost surely, 210154514042 is an apocalyptic number.

10154514042 is an abundant number, since it is smaller than the sum of its proper divisors (11846933088).

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

10154514042 is a wasteful number, since it uses less digits than its factorization.

10154514042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564139677 (or 564139674 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10154514042 in words is "ten billion, one hundred fifty-four million, five hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 564139669 1128279338 1692419007 3384838014 5077257021 10154514042