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1649916864 = 2634318271
BaseRepresentation
bin110001001010111…
…1011101111000000
311020222121110110000
41202111323233000
511334334314424
6431415240000
755613030151
oct14225735700
94228543400
101649916864
11777375a62
123a0679000
13203a9238b
141191a9928
1599cae3c9
hex6257bbc0

1649916864 has 70 divisors (see below), whose sum is σ = 4890885824. Its totient is φ = 549970560.

The previous prime is 1649916847. The next prime is 1649916881. The reversal of 1649916864 is 4686199461.

It is a happy number.

1649916864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1649916847) and next prime (1649916881).

It is a super-2 number, since 2×16499168642 = 5444451316223188992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1649916864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153952 + ... + 164319.

Almost surely, 21649916864 is an apocalyptic number.

It is an amenable number.

1649916864 is an abundant number, since it is smaller than the sum of its proper divisors (3240968960).

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

1649916864 is an equidigital number, since it uses as much as digits as its factorization.

1649916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318295 (or 318276 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1649916864 is about 40619.1686768698. The cubic root of 1649916864 is about 1181.6459038789.

The spelling of 1649916864 in words is "one billion, six hundred forty-nine million, nine hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 318271 636542 954813 1273084 1909626 2546168 2864439 3819252 5092336 5728878 7638504 8593317 10184672 11457756 15277008 17186634 20369344 22915512 25779951 30554016 34373268 45831024 51559902 61108032 68746536 91662048 103119804 137493072 183324096 206239608 274986144 412479216 549972288 824958432 1649916864