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54252611840 = 28574127139
BaseRepresentation
bin110010100001101101…
…010010100100000000
312012000221212020101002
4302201231102210000
51342102132034330
640531233431132
73630300410000
oct624155224400
9165027766332
1054252611840
1121010204299
12a62110b4a8
135167b098ab
1428a9440000
151627db7e45
hexca1b52900

54252611840 has 360 divisors, whose sum is σ = 153894558720. Its totient is φ = 18321666048.

The previous prime is 54252611839. The next prime is 54252611857. The reversal of 54252611840 is 4811625245.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54252611794 and 54252611803.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 390306491 + ... + 390306629.

Almost surely, 254252611840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54252611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76947279360).

54252611840 is an abundant number, since it is smaller than the sum of its proper divisors (99641946880).

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

54252611840 is an equidigital number, since it uses as much as digits as its factorization.

54252611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 54252611840 in words is "fifty-four billion, two hundred fifty-two million, six hundred eleven thousand, eight hundred forty".