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1859416064 = 2121141269
BaseRepresentation
bin110111011010100…
…0111000000000000
311210120211010022122
41232311013000000
512302002303224
6504301423412
764035530042
oct15665070000
94716733278
101859416064
118746568a0
1243a86ab68
132382c42bc
14138d41a92
15ad39315e
hex6ed47000

1859416064 has 52 divisors (see below), whose sum is σ = 4056510840. Its totient is φ = 845168640.

The previous prime is 1859416063. The next prime is 1859416081. The reversal of 1859416064 is 4606149581.

It is a super-2 number, since 2×18594160642 = 6914856198122504192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1859416063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24422 + ... + 65690.

Almost surely, 21859416064 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 1859416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028255420).

1859416064 is an abundant number, since it is smaller than the sum of its proper divisors (2197094776).

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

1859416064 is an equidigital number, since it uses as much as digits as its factorization.

1859416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41304 (or 41282 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1859416064 is about 43120.9469283781. The cubic root of 1859416064 is about 1229.6802359120.

The spelling of 1859416064 in words is "one billion, eight hundred fifty-nine million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 22528 41269 45056 82538 165076 330152 453959 660304 907918 1320608 1815836 2641216 3631672 5282432 7263344 10564864 14526688 21129728 29053376 42259456 58106752 84518912 116213504 169037824 232427008 464854016 929708032 1859416064