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5149949706000 = 2434531117473617
BaseRepresentation
bin100101011110001000011…
…1011000011111100010000
3200020022220211221102220000
41022330100323003330100
51133334044111043000
614541504303050000
71041033361142511
oct112742073037420
920208824842800
105149949706000
111706099394020
126b21178a0900
132b483b0b4558
1413b38a5a4a08
158de66bb9000
hex4af10ec3f10

5149949706000 has 1600 divisors, whose sum is σ = 21950034822144. Its totient is φ = 1149714432000.

The previous prime is 5149949705987. The next prime is 5149949706023. The reversal of 5149949706000 is 6079499415.

It is a happy number.

5149949706000 is a `hidden beast` number, since 5 + 1 + 4 + 99 + 497 + 0 + 60 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1423816192 + ... + 1423819808.

Almost surely, 25149949706000 is an apocalyptic number.

5149949706000 is a gapful number since it is divisible by the number (50) 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 5149949706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975017411072).

5149949706000 is an abundant number, since it is smaller than the sum of its proper divisors (16800085116144).

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

5149949706000 is a wasteful number, since it uses less digits than its factorization.

5149949706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 5149949706000 in words is "five trillion, one hundred forty-nine billion, nine hundred forty-nine million, seven hundred six thousand".