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54031415120 = 245675392689
BaseRepresentation
bin110010010100100001…
…011111011101010000
312011110112122021111222
4302110201133131100
51341124020240440
640453252424212
73621643310414
oct622441373520
9164415567458
1054031415120
1120a07363991
12a57b018068
135131040567
142887d00d44
1516137732b5
hexc9485f750

54031415120 has 20 divisors (see below), whose sum is σ = 125623040340. Its totient is φ = 21612566016.

The previous prime is 54031415117. The next prime is 54031415201. The reversal of 54031415120 is 2151413045.

It can be written as a sum of positive squares in 2 ways, for example, as 31323336256 + 22708078864 = 176984^2 + 150692^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×540314151202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54031415120.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 337696265 + ... + 337696424.

It is an arithmetic number, because the mean of its divisors is an integer number (6281152017).

Almost surely, 254031415120 is an apocalyptic number.

It is an amenable number.

54031415120 is an abundant number, since it is smaller than the sum of its proper divisors (71591625220).

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

54031415120 is a wasteful number, since it uses less digits than its factorization.

54031415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675392702 (or 675392696 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 54031415120 its reverse (2151413045), we get a palindrome (56182828165).

The spelling of 54031415120 in words is "fifty-four billion, thirty-one million, four hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 675392689 1350785378 2701570756 3376963445 5403141512 6753926890 10806283024 13507853780 27015707560 54031415120