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398194900992 = 2183571947
BaseRepresentation
bin1011100101101100100…
…01000000000000000000
31102001210212221211200000
411302312101000000000
523011000343312432
6502532254400000
740524432545460
oct5626621000000
91361725854600
10398194900992
11143967705839
126520a800000
132b71b684415
14153b655dba0
15a5581d457c
hex5cb6440000

398194900992 has 912 divisors, whose sum is σ = 1465654794240. Its totient is φ = 105488842752.

The previous prime is 398194900927. The next prime is 398194901029. The reversal of 398194900992 is 299009491893.

It is a tau number, because it is divible by the number of its divisors (912).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8472231913 + ... + 8472231959.

Almost surely, 2398194900992 is an apocalyptic number.

398194900992 is a gapful number since it is divisible by the number (32) 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 398194900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732827397120).

398194900992 is an abundant number, since it is smaller than the sum of its proper divisors (1067459893248).

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

398194900992 is an frugal number, since it uses more digits than its factorization.

398194900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 398194900992 in words is "three hundred ninety-eight billion, one hundred ninety-four million, nine hundred thousand, nine hundred ninety-two".