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98312209380 = 2234572111737179
BaseRepresentation
bin101101110001111011…
…1010100001111100100
3100101202112202200210000
41123203313110033210
53102320411200010
6113055231501300
710050160664100
oct1334367241744
9311675680700
1098312209380
113876a752020
1217078687830
139369c49578
144a88c36900
152855e987c0
hex16e3dd43e4

98312209380 has 1440 divisors, whose sum is σ = 427975954560. Its totient is φ = 18602680320.

The previous prime is 98312209367. The next prime is 98312209381. The reversal of 98312209380 is 8390221389.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98312209381) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 549230131 + ... + 549230309.

It is an arithmetic number, because the mean of its divisors is an integer number (297205524).

Almost surely, 298312209380 is an apocalyptic number.

98312209380 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 98312209380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213987977280).

98312209380 is an abundant number, since it is smaller than the sum of its proper divisors (329663745180).

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

98312209380 is a wasteful number, since it uses less digits than its factorization.

98312209380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 98312209380 in words is "ninety-eight billion, three hundred twelve million, two hundred nine thousand, three hundred eighty".