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16198712640 = 2633511170441
BaseRepresentation
bin11110001011000010…
…01011110101000000
31112210220201212022000
433011201023311000
5231133332301030
611235214344000
71112263533315
oct170541136500
945726655260
1016198712640
116962829620
123180abb000
1316b1cac586
14ad94dad0c
1564c198860
hex3c584bd40

16198712640 has 224 divisors, whose sum is σ = 62340865920. Its totient is φ = 3926937600.

The previous prime is 16198712617. The next prime is 16198712653. The reversal of 16198712640 is 4621789161.

16198712640 is a `hidden beast` number, since 1 + 619 + 8 + 7 + 1 + 26 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 9820 + ... + 180260.

Almost surely, 216198712640 is an apocalyptic number.

16198712640 is a gapful number since it is divisible by the number (10) 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 16198712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31170432960).

16198712640 is an abundant number, since it is smaller than the sum of its proper divisors (46142153280).

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

16198712640 is a wasteful number, since it uses less digits than its factorization.

16198712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170478 (or 170462 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16198712640 in words is "sixteen billion, one hundred ninety-eight million, seven hundred twelve thousand, six hundred forty".