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54180130125 = 3531113134577
BaseRepresentation
bin110010011101011000…
…110010110101001101
312011211220110210011010
4302131120302311031
51341430103131000
640520124115433
73625430336022
oct623530626515
9164756423133
1054180130125
1120a832a8750
12a600995b79
135155aac5c4
14289d973549
15162184bd50
hexc9d632d4d

54180130125 has 32 divisors (see below), whose sum is σ = 98351720064. Its totient is φ = 26269152000.

The previous prime is 54180130111. The next prime is 54180130127. The reversal of 54180130125 is 52103108145.

It is not a de Polignac number, because 54180130125 - 25 = 54180130093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54180130092 and 54180130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54180130127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6563164 + ... + 6571413.

It is an arithmetic number, because the mean of its divisors is an integer number (3073491252).

Almost surely, 254180130125 is an apocalyptic number.

54180130125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54180130125 is a deficient number, since it is larger than the sum of its proper divisors (44171589939).

54180130125 is a wasteful number, since it uses less digits than its factorization.

54180130125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13134606 (or 13134596 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 54180130125 in words is "fifty-four billion, one hundred eighty million, one hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 13134577 39403731 65672885 144480347 197018655 328364425 433441041 722401735 985093275 1641822125 2167205205 3612008675 4925466375 10836026025 18060043375 54180130125