Search a number
-
+
99125634720 = 2535731979811
BaseRepresentation
bin101110001010001011…
…0010010011010100000
3100110212020100222120110
41130110112102122200
53111002130302340
6113312050211320
710106265664410
oct1342426223240
9313766328513
1099125634720
1139047922572
1217264b83b40
139469620138
144b24c98640
1528a25c3680
hex17145926a0

99125634720 has 384 divisors, whose sum is σ = 372199145472. Its totient is φ = 21698150400.

The previous prime is 99125634703. The next prime is 99125634721. The reversal of 99125634720 is 2743652199.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99125634720.

It is not an unprimeable number, because it can be changed into a prime (99125634721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10098615 + ... + 10108425.

It is an arithmetic number, because the mean of its divisors is an integer number (969268608).

Almost surely, 299125634720 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 99125634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186099572736).

99125634720 is an abundant number, since it is smaller than the sum of its proper divisors (273073510752).

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

99125634720 is a wasteful number, since it uses less digits than its factorization.

99125634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9956 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 99125634720 in words is "ninety-nine billion, one hundred twenty-five million, six hundred thirty-four thousand, seven hundred twenty".