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99428636160 = 293357231947
BaseRepresentation
bin101110010011001101…
…0001001011000000000
3100111122100112001102000
41130212122021120000
53112112212324120
6113402112424000
710116635314500
oct1344632113000
9314570461360
1099428636160
1139192966a87
121732a548000
1394b732c129
144b5320da00
1528bdec6990
hex1726689600

99428636160 has 960 divisors, whose sum is σ = 424541399040. Its totient is φ = 21970206720.

The previous prime is 99428636141. The next prime is 99428636183. The reversal of 99428636160 is 6163682499.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 99428636097 and 99428636106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104992807 + ... + 104993753.

It is an arithmetic number, because the mean of its divisors is an integer number (442230624).

Almost surely, 299428636160 is an apocalyptic number.

99428636160 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 99428636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212270699520).

99428636160 is an abundant number, since it is smaller than the sum of its proper divisors (325112762880).

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

99428636160 is a wasteful number, since it uses less digits than its factorization.

99428636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 99428636160 in words is "ninety-nine billion, four hundred twenty-eight million, six hundred thirty-six thousand, one hundred sixty".