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48283361280 = 2133757211
BaseRepresentation
bin101100111101111010…
…011010000000000000
311121121221122220000000
4230331322122000000
51242341020030110
634103040000000
73326335541100
oct547572320000
9147557586000
1048283361280
1119527775a70
129436000000
134726218c7b
1424a0757200
1513c8d061c0
hexb3de9a000

48283361280 has 1344 divisors, whose sum is σ = 220533528960. Its totient is φ = 10032906240.

The previous prime is 48283361263. The next prime is 48283361309. The reversal of 48283361280 is 8216338284.

48283361280 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 3 + 361 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389396475 + ... + 4389396485.

Almost surely, 248283361280 is an apocalyptic number.

48283361280 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 48283361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110266764480).

48283361280 is an abundant number, since it is smaller than the sum of its proper divisors (172250167680).

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

48283361280 is an frugal number, since it uses more digits than its factorization.

48283361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48283361280 in words is "forty-eight billion, two hundred eighty-three million, three hundred sixty-one thousand, two hundred eighty".