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2058690816 = 28347131091
BaseRepresentation
bin111101010110101…
…0010000100000000
312022110210022220000
41322231102010000
513204011101231
6540140520000
7102005404020
oct17255220400
95273708800
102058690816
11967093976
12495550000
1326a686460
141575b5a80
15c0b076e6
hex7ab52100

2058690816 has 360 divisors, whose sum is σ = 7562178624. Its totient is φ = 542453760.

The previous prime is 2058690787. The next prime is 2058690817. The reversal of 2058690816 is 6180968502.

It is not an unprimeable number, because it can be changed into a prime (2058690817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886431 + ... + 1887521.

Almost surely, 22058690816 is an apocalyptic number.

2058690816 is a gapful number since it is divisible by the number (26) 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 2058690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781089312).

2058690816 is an abundant number, since it is smaller than the sum of its proper divisors (5503487808).

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

2058690816 is a wasteful number, since it uses less digits than its factorization.

2058690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2058690816 is about 45372.7981945130. The cubic root of 2058690816 is about 1272.1267228679.

The spelling of 2058690816 in words is "two billion, fifty-eight million, six hundred ninety thousand, eight hundred sixteen".