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98666630400 = 28352132943317
BaseRepresentation
bin101101111100011111…
…1010100110100000000
3100102200020200011000110
41123320333110310000
53104032124133100
6113154332151320
710062023343402
oct1337077246400
9312606604013
1098666630400
1138931816858
1217157308540
1393c54bcb50
144abdd34b72
152877157250
hex16f8fd4d00

98666630400 has 864 divisors, whose sum is σ = 372367416960. Its totient is φ = 22832087040.

The previous prime is 98666630383. The next prime is 98666630473. The reversal of 98666630400 is 403666689.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98666630400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311251042 + ... + 311251358.

Almost surely, 298666630400 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 98666630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186183708480).

98666630400 is an abundant number, since it is smaller than the sum of its proper divisors (273700786560).

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

98666630400 is a wasteful number, since it uses less digits than its factorization.

98666630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 98666630400 in words is "ninety-eight billion, six hundred sixty-six million, six hundred thirty thousand, four hundred".