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2149048516608 = 217397217
BaseRepresentation
bin11111010001011101010…
…001100000000000000000
321121110001212221000000000
4133101131101200000000
5240202222410012413
64323132000000000
7311156265664200
oct37213521400000
97543055830000
102149048516608
11759451953424
122a8600000000
131278679627b6
147602bb22400
153ad7d2b1073
hex1f45d460000

2149048516608 has 1080 divisors, whose sum is σ = 7940737190232. Its totient is φ = 577895399424.

The previous prime is 2149048516583. The next prime is 2149048516613. The reversal of 2149048516608 is 8066158409412.

2149048516608 is a `hidden beast` number, since 2 + 1 + 4 + 90 + 485 + 16 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126414618616 + ... + 126414618632.

Almost surely, 22149048516608 is an apocalyptic number.

2149048516608 is a gapful number since it is divisible by the number (28) 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 2149048516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970368595116).

2149048516608 is an abundant number, since it is smaller than the sum of its proper divisors (5791688673624).

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

2149048516608 is an frugal number, since it uses more digits than its factorization.

2149048516608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2149048516608 in words is "two trillion, one hundred forty-nine billion, forty-eight million, five hundred sixteen thousand, six hundred eight".