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5146099416 = 23322937591129
BaseRepresentation
bin1001100101011101…
…10011111011011000
3111021122021221021200
410302232303323120
541014400140131
62210350434200
7241345060203
oct46256637330
914248257250
105146099416
112200925727
12bb7502960
136401c3253
1436b65293a
15201bb52e6
hex132bb3ed8

5146099416 has 192 divisors, whose sum is σ = 15071940000. Its totient is φ = 1582737408.

The previous prime is 5146099411. The next prime is 5146099423. The reversal of 5146099416 is 6149906415.

It is a happy number.

5146099416 is a `hidden beast` number, since 5 + 146 + 0 + 99 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146099411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4557540 + ... + 4558668.

Almost surely, 25146099416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146099416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535970000).

5146099416 is an abundant number, since it is smaller than the sum of its proper divisors (9925840584).

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

5146099416 is a wasteful number, since it uses less digits than its factorization.

5146099416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5146099416 is about 71736.3186677432. The cubic root of 5146099416 is about 1726.4714089432.

The spelling of 5146099416 in words is "five billion, one hundred forty-six million, ninety-nine thousand, four hundred sixteen".