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98827223040 = 214335713491
BaseRepresentation
bin101110000001010001…
…1111100000000000000
3100110002102212002201000
41130002203330000000
53104344232114130
6113222310212000
710066013351460
oct1340243740000
9313072762630
1098827223040
1138a04433447
12171a1054000
13941c85a290
144ad73b9ba0
1528862ca260
hex17028fc000

98827223040 has 960 divisors, whose sum is σ = 433342264320. Its totient is φ = 20808990720.

The previous prime is 98827222987. The next prime is 98827223051. The reversal of 98827223040 is 4032272889.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201277195 + ... + 201277685.

It is an arithmetic number, because the mean of its divisors is an integer number (451398192).

Almost surely, 298827223040 is an apocalyptic number.

98827223040 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 98827223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216671132160).

98827223040 is an abundant number, since it is smaller than the sum of its proper divisors (334515041280).

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

98827223040 is a wasteful number, since it uses less digits than its factorization.

98827223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 98827223040 in words is "ninety-eight billion, eight hundred twenty-seven million, two hundred twenty-three thousand, forty".