Search a number
-
+
99912572010 = 23352373433509
BaseRepresentation
bin101110100001101000…
…0001101110001101010
3100112220002010112121000
41131003100031301222
53114110104301020
6113522121055430
710134632564256
oct1350320156152
9315802115530
1099912572010
1139411051169
1217444627576
13956367b3c4
144b9b5c3266
1528eb71a090
hex174340dc6a

99912572010 has 256 divisors, whose sum is σ = 283031884800. Its totient is φ = 25028517888.

The previous prime is 99912571963. The next prime is 99912572017. The reversal of 99912572010 is 1027521999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99912572017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196291636 + ... + 196292144.

It is an arithmetic number, because the mean of its divisors is an integer number (1105593300).

Almost surely, 299912572010 is an apocalyptic number.

99912572010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 316089×316090.

It is a practical number, because each smaller number is the sum of distinct divisors of 99912572010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141515942400).

99912572010 is an abundant number, since it is smaller than the sum of its proper divisors (183119312790).

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

99912572010 is a wasteful number, since it uses less digits than its factorization.

99912572010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 99912572010 in words is "ninety-nine billion, nine hundred twelve million, five hundred seventy-two thousand, ten".