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48630554280 = 233357111741839
BaseRepresentation
bin101101010010100110…
…110101111010101000
311122112010222010021000
4231102212311322220
51244043410214110
634201321315000
73341052614430
oct552246657250
9148463863230
1048630554280
1119695753230
129512335a60
13478012b609
1424d48d32c0
1513e95381c0
hexb529b5ea8

48630554280 has 1024 divisors, whose sum is σ = 219469824000. Its totient is φ = 9267609600.

The previous prime is 48630554257. The next prime is 48630554281. The reversal of 48630554280 is 8245503684.

48630554280 is a `hidden beast` number, since 4 + 8 + 630 + 5 + 5 + 4 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48630554281) 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 255 ways as a sum of consecutive naturals, for example, 57962101 + ... + 57962939.

It is an arithmetic number, because the mean of its divisors is an integer number (214326000).

Almost surely, 248630554280 is an apocalyptic number.

48630554280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48630554280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912000).

48630554280 is an abundant number, since it is smaller than the sum of its proper divisors (170839269720).

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

48630554280 is a wasteful number, since it uses less digits than its factorization.

48630554280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 48630554280 in words is "forty-eight billion, six hundred thirty million, five hundred fifty-four thousand, two hundred eighty".