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54012106144 = 253375008541
BaseRepresentation
bin110010010011010111…
…110101010110100000
312011102012022021120201
4302103113311112200
51341104044344034
640451322514544
73621320220133
oct622327652640
9164365267521
1054012106144
11209a7475857
12a574665a54
13512a03c829
14288551621a
151611c0c014
hexc935f55a0

54012106144 has 24 divisors (see below), whose sum is σ = 106651893348. Its totient is φ = 26925911040.

The previous prime is 54012106129. The next prime is 54012106147. The reversal of 54012106144 is 44160121045.

54012106144 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 2 ways, for example, as 54000464400 + 11641744 = 232380^2 + 3412^2 .

It is a super-2 number, since 2×540121061442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54012106147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2493487 + ... + 2515054.

Almost surely, 254012106144 is an apocalyptic number.

It is an amenable number.

54012106144 is a deficient number, since it is larger than the sum of its proper divisors (52639787204).

54012106144 is a wasteful number, since it uses less digits than its factorization.

54012106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008888 (or 5008880 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 54012106144 its reverse (44160121045), we get a palindrome (98172227189).

The spelling of 54012106144 in words is "fifty-four billion, twelve million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 337 674 1348 2696 5392 10784 5008541 10017082 20034164 40068328 80136656 160273312 1687878317 3375756634 6751513268 13503026536 27006053072 54012106144