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54662260950 = 2325211291931973
BaseRepresentation
bin110010111010000111…
…111110100011010110
312020002111200120022100
4302322013332203112
51343422014322300
641040025542530
73643403360163
oct627207764326
9166074616270
1054662260950
112120046a780
12a716344a46
13520194910b
1429079d706a
15164dd35700
hexcba1fe8d6

54662260950 has 288 divisors, whose sum is σ = 166677769440. Its totient is φ = 12721766400.

The previous prime is 54662260907. The next prime is 54662260969. The reversal of 54662260950 is 5906226645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54662260896 and 54662260905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27704164 + ... + 27706136.

It is an arithmetic number, because the mean of its divisors is an integer number (578742255).

Almost surely, 254662260950 is an apocalyptic number.

54662260950 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 54662260950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83338884720).

54662260950 is an abundant number, since it is smaller than the sum of its proper divisors (112015508490).

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

54662260950 is a wasteful number, since it uses less digits than its factorization.

54662260950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54662260950 in words is "fifty-four billion, six hundred sixty-two million, two hundred sixty thousand, nine hundred fifty".