Search a number
-
+
123989741568 = 212327113192
BaseRepresentation
bin111001101111001011…
…1010101000000000000
3102212001001120111000200
41303132113111000000
54012412333212233
6132543214245200
711646403262010
oct1633627250000
9385031514020
10123989741568
1148646a82000
1220043ab6800
13b8cc9566b4
146003189c40
15335a3a1313
hex1cde5d5000

123989741568 has 936 divisors, whose sum is σ = 475156109376. Its totient is φ = 30510120960.

The previous prime is 123989741527. The next prime is 123989741569. The reversal of 123989741568 is 865147989321.

123989741568 is a `hidden beast` number, since 1 + 2 + 398 + 97 + 4 + 156 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (26127360) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123989741569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6525775863 + ... + 6525775881.

It is an arithmetic number, because the mean of its divisors is an integer number (507645416).

Almost surely, 2123989741568 is an apocalyptic number.

123989741568 is a gapful number since it is divisible by the number (18) 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 123989741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237578054688).

123989741568 is an abundant number, since it is smaller than the sum of its proper divisors (351166367808).

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

123989741568 is an equidigital number, since it uses as much as digits as its factorization.

123989741568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 42 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 123989741568 in words is "one hundred twenty-three billion, nine hundred eighty-nine million, seven hundred forty-one thousand, five hundred sixty-eight".