Search a number
-
+
48972167244 = 2233711133171429
BaseRepresentation
bin101101100110111101…
…111111100001001100
311200101221202212011000
4231212331333201030
51300243333322434
634255243300300
73352401360540
oct554675774114
9150357685130
1048972167244
111985056a0a0
1295a881a690
134805b39170
142528019a20
151419516b99
hexb66f7f84c

48972167244 has 384 divisors, whose sum is σ = 171127756800. Its totient is φ = 11696348160.

The previous prime is 48972167227. The next prime is 48972167269. The reversal of 48972167244 is 44276127984.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34269522 + ... + 34270950.

It is an arithmetic number, because the mean of its divisors is an integer number (445645200).

Almost surely, 248972167244 is an apocalyptic number.

48972167244 is a gapful number since it is divisible by the number (44) 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 48972167244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85563878400).

48972167244 is an abundant number, since it is smaller than the sum of its proper divisors (122155589556).

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

48972167244 is a wasteful number, since it uses less digits than its factorization.

48972167244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 48972167244 in words is "forty-eight billion, nine hundred seventy-two million, one hundred sixty-seven thousand, two hundred forty-four".