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48934365480 = 23325721113191021
BaseRepresentation
bin101101100100101101…
…110010100100101000
311200022022122022212200
4231210231302210220
51300204144143410
634251413140200
73351432146400
oct554455624450
9150268568780
1048934365480
11198311a0070
12959802a660
1347cb062060
142522db9800
15141604b3c0
hexb64b72928

48934365480 has 1152 divisors, whose sum is σ = 229008124800. Its totient is φ = 8883302400.

The previous prime is 48934365451. The next prime is 48934365509. The reversal of 48934365480 is 8456343984.

48934365480 is a `hidden beast` number, since 4 + 8 + 93 + 4 + 3 + 6 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48934365451) and next prime (48934365509).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47927370 + ... + 47928390.

It is an arithmetic number, because the mean of its divisors is an integer number (198791775).

Almost surely, 248934365480 is an apocalyptic number.

48934365480 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 48934365480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114504062400).

48934365480 is an abundant number, since it is smaller than the sum of its proper divisors (180073759320).

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

48934365480 is a wasteful number, since it uses less digits than its factorization.

48934365480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

It can be divided in two parts, 48934 and 365480, that added together give a palindrome (414414).

The spelling of 48934365480 in words is "forty-eight billion, nine hundred thirty-four million, three hundred sixty-five thousand, four hundred eighty".