Search a number
-
+
48619156320 = 2532572739439
BaseRepresentation
bin101101010001111011…
…010111001101100000
311122111100112001012100
4231101323113031200
51244033001000240
634200233130400
73340554003300
oct552173271540
9148440461170
1048619156320
111968a278829
12950a559a00
13477a96a667
1424d31a7600
1513e8535e30
hexb51ed7360

48619156320 has 432 divisors, whose sum is σ = 195665258880. Its totient is φ = 10959556608.

The previous prime is 48619156319. The next prime is 48619156343. The reversal of 48619156320 is 2365191684.

48619156320 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 9 + 1 + 5 + 632 + 0 = 666.

It is a super-2 number, since 2×486191563202 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5146161 + ... + 5155599.

It is an arithmetic number, because the mean of its divisors is an integer number (452928840).

Almost surely, 248619156320 is an apocalyptic number.

48619156320 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 48619156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97832629440).

48619156320 is an abundant number, since it is smaller than the sum of its proper divisors (147046102560).

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

48619156320 is a wasteful number, since it uses less digits than its factorization.

48619156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 48619156320 in words is "forty-eight billion, six hundred nineteen million, one hundred fifty-six thousand, three hundred twenty".