Search a number
-
+
39748423680 = 21235572163
BaseRepresentation
bin100101000001001100…
…001101000000000000
310210121010200010200000
4211001030031000000
51122401044024210
630132110400000
72605001012100
oct450114150000
9123533603600
1039748423680
1115947a49029
127853800000
133995c0a534
141cd1001200
151079890ac0
hex94130d000

39748423680 has 936 divisors, whose sum is σ = 167227718112. Its totient is φ = 9029615616.

The previous prime is 39748423619. The next prime is 39748423703. The reversal of 39748423680 is 8632484793.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855279 + ... + 243855441.

It is an arithmetic number, because the mean of its divisors is an integer number (178662092).

Almost surely, 239748423680 is an apocalyptic number.

39748423680 is a gapful number since it is divisible by the number (30) 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 39748423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83613859056).

39748423680 is an abundant number, since it is smaller than the sum of its proper divisors (127479294432).

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

39748423680 is an equidigital number, since it uses as much as digits as its factorization.

39748423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 39748423680 in words is "thirty-nine billion, seven hundred forty-eight million, four hundred twenty-three thousand, six hundred eighty".