Search a number
-
+
99768640608 = 253271329149881
BaseRepresentation
bin101110011101010101…
…1001010010001100000
3100112112001022001211100
41130322223022101200
53113311232444413
6113455540114400
710131234311220
oct1347253122140
9315461261740
1099768640608
113934788439a
1217404395a00
13953c8c57b0
144b86438080
1528ddc88a73
hex173aaca460

99768640608 has 576 divisors, whose sum is σ = 364068432000. Its totient is φ = 25206128640.

The previous prime is 99768640519. The next prime is 99768640613. The reversal of 99768640608 is 80604686799.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 113244328 + ... + 113245208.

It is an arithmetic number, because the mean of its divisors is an integer number (632063250).

Almost surely, 299768640608 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 99768640608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182034216000).

99768640608 is an abundant number, since it is smaller than the sum of its proper divisors (264299791392).

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

99768640608 is a wasteful number, since it uses less digits than its factorization.

99768640608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 99768640608 in words is "ninety-nine billion, seven hundred sixty-eight million, six hundred forty thousand, six hundred eight".