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55442000250 = 232537132361193
BaseRepresentation
bin110011101000100110…
…011100100101111010
312022002211220102112200
4303220212130211322
51402021123002000
641245242251030
74001622140460
oct635046344572
9168084812480
1055442000250
112157062241a
12a8b34b6a76
1352c7357010
14297d3aa830
151697509500
hexce899c97a

55442000250 has 768 divisors, whose sum is σ = 196703410176. Its totient is φ = 10948608000.

The previous prime is 55442000233. The next prime is 55442000279. The reversal of 55442000250 is 5200024455.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 287264154 + ... + 287264346.

It is an arithmetic number, because the mean of its divisors is an integer number (256124232).

Almost surely, 255442000250 is an apocalyptic number.

55442000250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55442000250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98351705088).

55442000250 is an abundant number, since it is smaller than the sum of its proper divisors (141261409926).

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

55442000250 is a wasteful number, since it uses less digits than its factorization.

55442000250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 55442000250 in words is "fifty-five billion, four hundred forty-two million, two hundred fifty", and thus it is an aban number.