Search a number
-
+
48898561140 = 223451121331619
BaseRepresentation
bin101101100010100101…
…001101010001110100
311200012211021021120000
4231202211031101310
51300121012424030
634244053511300
73350515624512
oct554245152164
9150184237500
1048898561140
1119812a65800
129588042530
1347c3807160
14251c3394b2
151412d27860
hexb6294d474

48898561140 has 720 divisors, whose sum is σ = 187739650560. Its totient is φ = 10572249600.

The previous prime is 48898561123. The next prime is 48898561211. The reversal of 48898561140 is 4116589884.

It is a happy number.

48898561140 is a `hidden beast` number, since 488 + 98 + 5 + 61 + 14 + 0 = 666.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 78995751 + ... + 78996369.

Almost surely, 248898561140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48898561140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93869825280).

48898561140 is an abundant number, since it is smaller than the sum of its proper divisors (138841089420).

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

48898561140 is a wasteful number, since it uses less digits than its factorization.

48898561140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 48898561140 in words is "forty-eight billion, eight hundred ninety-eight million, five hundred sixty-one thousand, one hundred forty".