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1982154816 = 26323441241
BaseRepresentation
bin111011000100101…
…0100100001000000
312010010202220020100
41312021110201000
513024412423231
6524404242400
7100056016005
oct16611244100
95103686210
101982154816
11927969284
124739a0400
13257869995
1414b3718ac
15b903a1e6
hex76254840

1982154816 has 42 divisors (see below), whose sum is σ = 5681490542. Its totient is φ = 660718080.

The previous prime is 1982154761. The next prime is 1982154821. The reversal of 1982154816 is 6184512891.

It is a happy number.

1982154816 is a `hidden beast` number, since 1 + 98 + 2 + 1 + 548 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1410753600 + 571401216 = 37560^2 + 23904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1720045 + ... + 1721196.

Almost surely, 21982154816 is an apocalyptic number.

1982154816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1982154816 is an abundant number, since it is smaller than the sum of its proper divisors (3699335726).

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

1982154816 is a wasteful number, since it uses less digits than its factorization.

1982154816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441259 (or 3441246 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 1982154816 is about 44521.3972826550. The cubic root of 1982154816 is about 1256.1625954189.

The spelling of 1982154816 in words is "one billion, nine hundred eighty-two million, one hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3441241 6882482 10323723 13764964 20647446 27529928 30971169 41294892 55059856 61942338 82589784 110119712 123884676 165179568 220239424 247769352 330359136 495538704 660718272 991077408 1982154816