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99429583968 = 25341113268253
BaseRepresentation
bin101110010011001110…
…1110000110001100000
3100111122102022012120000
41130212131300301200
53112112433141333
6113402145020000
710116646343001
oct1344635606140
9314572265500
1099429583968
11391934540a0
121732a924600
1394b75a1670
144b533b91a8
1528be112713
hex1726770c60

99429583968 has 240 divisors, whose sum is σ = 343543240656. Its totient is φ = 27812367360.

The previous prime is 99429583951. The next prime is 99429583973. The reversal of 99429583968 is 86938592499.

99429583968 is a `hidden beast` number, since 99 + 429 + 58 + 3 + 9 + 68 = 666.

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 = 99429583896 and 99429583905.

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 39 ways as a sum of consecutive naturals, for example, 236530 + ... + 504782.

Almost surely, 299429583968 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 99429583968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171771620328).

99429583968 is an abundant number, since it is smaller than the sum of its proper divisors (244113656688).

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

99429583968 is a wasteful number, since it uses less digits than its factorization.

99429583968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268299 (or 268282 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 99429583968 in words is "ninety-nine billion, four hundred twenty-nine million, five hundred eighty-three thousand, nine hundred sixty-eight".