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99011880000 = 2632541122273
BaseRepresentation
bin101110000110110010…
…0010110010001000000
3100110120022022122102200
41130031210112101000
53110234020130000
6113252504113200
710103415044115
oct1341544262100
9313508278380
1099011880000
1138a99696a00
1217232a65800
13944bba1a57
144b13b2690c
152897603500
hex170d916440

99011880000 has 630 divisors, whose sum is σ = 389978090502. Its totient is φ = 23992320000.

The previous prime is 99011879957. The next prime is 99011880017. The reversal of 99011880000 is 8811099.

It can be written as a sum of positive squares in 5 ways, for example, as 18918351936 + 80093528064 = 137544^2 + 283008^2 .

It is a super-2 number, since 2×990118800002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 43558864 + ... + 43561136.

Almost surely, 299011880000 is an apocalyptic number.

99011880000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99011880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194989045251).

99011880000 is an abundant number, since it is smaller than the sum of its proper divisors (290966210502).

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

99011880000 is a wasteful number, since it uses less digits than its factorization.

99011880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 99011880000 in words is "ninety-nine billion, eleven million, eight hundred eighty thousand".