Search a number
-
+
129252487728 = 243721319317177
BaseRepresentation
bin111100001100000001…
…1000111001000110000
3110100121211100200120010
41320120003013020300
54104202114101403
6135213333214520
712223666006200
oct1703003071060
9410554320503
10129252487728
114a8a77290a1
1221072491440
13c25b06b490
1463820c4400
153567408603
hex1e180c7230

129252487728 has 480 divisors, whose sum is σ = 454577571840. Its totient is φ = 31248322560.

The previous prime is 129252487627. The next prime is 129252487751. The reversal of 129252487728 is 827784252921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18005676 + ... + 18012852.

It is an arithmetic number, because the mean of its divisors is an integer number (947036608).

Almost surely, 2129252487728 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 129252487728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227288785920).

129252487728 is an abundant number, since it is smaller than the sum of its proper divisors (325325084112).

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

129252487728 is a wasteful number, since it uses less digits than its factorization.

129252487728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7252 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 129252487728 in words is "one hundred twenty-nine billion, two hundred fifty-two million, four hundred eighty-seven thousand, seven hundred twenty-eight".