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99469435968 = 2634719891621
BaseRepresentation
bin101110010100011010…
…1110010010001000000
3100111202012021220020000
41130220311302101000
53112203133422333
6113410131120000
710120642153410
oct1345065622100
9314665256200
1099469435968
11392039a3531
1217340143000
1394c2915a26
144b587d0640
1528c2885713
hex1728d72440

99469435968 has 560 divisors, whose sum is σ = 358923945600. Its totient is φ = 26605117440.

The previous prime is 99469435939. The next prime is 99469436023. The reversal of 99469435968 is 86953496499.

99469435968 is a `hidden beast` number, since 99 + 46 + 9 + 435 + 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 = 99469435896 and 99469435905.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61362198 + ... + 61363818.

Almost surely, 299469435968 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 99469435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179461972800).

99469435968 is an abundant number, since it is smaller than the sum of its proper divisors (259454509632).

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

99469435968 is a wasteful number, since it uses less digits than its factorization.

99469435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1741 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 99469435968 in words is "ninety-nine billion, four hundred sixty-nine million, four hundred thirty-five thousand, nine hundred sixty-eight".