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48279515076 = 22361323132
BaseRepresentation
bin101100111101101011…
…101110111111000100
311121121200102111000000
4230331223232333010
51242334023440301
634102421321300
73326261051502
oct547553567704
9147550374000
1048279515076
1119525589291
129434866230
1347254a0400
1424a0035672
1513c87e6786
hexb3daeefc4

48279515076 has 189 divisors, whose sum is σ = 137609271639. Its totient is φ = 14807774592.

The previous prime is 48279515069. The next prime is 48279515107. The reversal of 48279515076 is 67051597284.

The square root of 48279515076 is 219726.

It is a perfect power (a square), and thus also a powerful number.

48279515076 is a `hidden beast` number, since 4 + 82 + 7 + 9 + 51 + 507 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38191321476 + 10088193600 = 195426^2 + 100440^2 .

It is a super-2 number, since 2×482795150762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 154247496 + ... + 154247808.

Almost surely, 248279515076 is an apocalyptic number.

48279515076 is the 219726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48279515076

48279515076 is an abundant number, since it is smaller than the sum of its proper divisors (89329756563).

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

48279515076 is an equidigital number, since it uses as much as digits as its factorization.

48279515076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 48279515076 in words is "forty-eight billion, two hundred seventy-nine million, five hundred fifteen thousand, seventy-six".