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1827834816 = 2639519973
BaseRepresentation
bin110110011110010…
…1000101111000000
311201101101121222210
41230330220233000
512220411203231
6501212502120
763203224323
oct15474505700
94641347883
101827834816
11858846395
1243017a940
132318b7682
14134a807ba
15aa705a46
hex6cf28bc0

1827834816 has 28 divisors (see below), whose sum is σ = 4836146792. Its totient is φ = 609278208.

The previous prime is 1827834793. The next prime is 1827834821. The reversal of 1827834816 is 6184387281.

It is a super-2 number, since 2×18278348162 = 6681960229163507712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4759795 + ... + 4760178.

Almost surely, 21827834816 is an apocalyptic number.

1827834816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1827834816 is an abundant number, since it is smaller than the sum of its proper divisors (3008311976).

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

1827834816 is an equidigital number, since it uses as much as digits as its factorization.

1827834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519988 (or 9519978 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 1827834816 is about 42753.1848638204. The cubic root of 1827834816 is about 1222.6786115801.

The spelling of 1827834816 in words is "one billion, eight hundred twenty-seven million, eight hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 9519973 19039946 28559919 38079892 57119838 76159784 114239676 152319568 228479352 304639136 456958704 609278272 913917408 1827834816