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988214928100 = 2252994092
BaseRepresentation
bin11100110000101100011…
…00110010001011100100
310111110202101201202001121
432120112030302023210
5112142331010144400
62033551335303324
7131252613202561
oct16302614621344
93443671652047
10988214928100
11351110622a54
1213b63321ab44
137225a81700a
1435b891b5868
151aa8bced21a
hexe6163322e4

988214928100 has 27 divisors (see below), whose sum is σ = 2144447965947. Its totient is φ = 395281994880.

The previous prime is 988214928083. The next prime is 988214928121. The reversal of 988214928100 is 1829412889.

The square root of 988214928100 is 994090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 322058916 + 987892869184 = 17946^2 + 993928^2 .

It is a super-2 number, since 2×9882149281002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9891196 + ... + 9990604.

Almost surely, 2988214928100 is an apocalyptic number.

988214928100 is the 994090-th square number.

It is an amenable number.

988214928100 is an abundant number, since it is smaller than the sum of its proper divisors (1156233037847).

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

988214928100 is an frugal number, since it uses more digits than its factorization.

988214928100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198832 (or 99416 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 52.

The spelling of 988214928100 in words is "nine hundred eighty-eight billion, two hundred fourteen million, nine hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 99409 198818 397636 497045 994090 1988180 2485225 4970450 9940900 9882149281 19764298562 39528597124 49410746405 98821492810 197642985620 247053732025 494107464050 988214928100