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98183111040 = 27335721719359
BaseRepresentation
bin101101101110000101…
…0110110000110000000
3100101102112211211011000
41123130022312012000
53102034334023130
6113034340452000
710044032450100
oct1333412660600
9311375754130
1098183111040
1138703896583
12170413aa000
139349288311
144a75a2d200
152849997260
hex16dc2b6180

98183111040 has 1536 divisors, whose sum is σ = 452096640000. Its totient is φ = 19954335744.

The previous prime is 98183110957. The next prime is 98183111077. The reversal of 98183111040 is 4011138189.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98183110986 and 98183111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273490381 + ... + 273490739.

It is an arithmetic number, because the mean of its divisors is an integer number (294333750).

Almost surely, 298183111040 is an apocalyptic number.

98183111040 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 98183111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226048320000).

98183111040 is an abundant number, since it is smaller than the sum of its proper divisors (353913528960).

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

98183111040 is a wasteful number, since it uses less digits than its factorization.

98183111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 98183111040 in words is "ninety-eight billion, one hundred eighty-three million, one hundred eleven thousand, forty".