Search a number
-
+
99458448768 = 2732717968903
BaseRepresentation
bin101110010100000101…
…1110111110110000000
3100111201102121200121200
41130220023313312000
53112142330330033
6113405055421200
710120446602640
oct1345013676600
9314642550550
1099458448768
11391a87796a8
1217338524800
1394c0569a23
144b57170520
1528c1915013
hex17282f7d80

99458448768 has 192 divisors, whose sum is σ = 328920134400. Its totient is φ = 28257537024.

The previous prime is 99458448757. The next prime is 99458448773. The reversal of 99458448768 is 86784485499.

99458448768 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 84 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99458448696 and 99458448705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409005 + ... + 1477907.

It is an arithmetic number, because the mean of its divisors is an integer number (1713125700).

Almost surely, 299458448768 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 99458448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164460067200).

99458448768 is an abundant number, since it is smaller than the sum of its proper divisors (229461685632).

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

99458448768 is a wasteful number, since it uses less digits than its factorization.

99458448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69109 (or 69094 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 99458448768 in words is "ninety-nine billion, four hundred fifty-eight million, four hundred forty-eight thousand, seven hundred sixty-eight".