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99829149440 = 285192375839
BaseRepresentation
bin101110011111001000…
…1111110111100000000
3100112200021011020100012
41130332101332330000
53113422230240230
6113505541044052
710132600524626
oct1347621767400
9315607136305
1099829149440
1139378a52599
12174206b6628
13954c2c0237
144b904a9516
1528e423c395
hex173e47ef00

99829149440 has 216 divisors, whose sum is σ = 259234960320. Its totient is φ = 36801257472.

The previous prime is 99829149313. The next prime is 99829149443. The reversal of 99829149440 is 4494192899.

It is a self number, because there is not a number n which added to its sum of digits gives 99829149440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99829149443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17094041 + ... + 17099879.

Almost surely, 299829149440 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 99829149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129617480160).

99829149440 is an abundant number, since it is smaller than the sum of its proper divisors (159405810880).

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

99829149440 is a wasteful number, since it uses less digits than its factorization.

99829149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 59.

The spelling of 99829149440 in words is "ninety-nine billion, eight hundred twenty-nine million, one hundred forty-nine thousand, four hundred forty".