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19832129010 = 2325220356989
BaseRepresentation
bin10010011110000101…
…100100010111110010
31220012010122112112200
4102132011210113302
5311104011112020
613035531204030
71301313213051
oct223605442762
956163575480
1019832129010
1184577a1071
123a158a6616
131b4098c6a5
14d61ca8398
157b115b590
hex49e1645f2

19832129010 has 24 divisors (see below), whose sum is σ = 51563535660. Its totient is φ = 5288567712.

The previous prime is 19832128949. The next prime is 19832129011. The reversal of 19832129010 is 1092123891.

It can be written as a sum of positive squares in 2 ways, for example, as 19660807089 + 171321921 = 140217^2 + 13089^2 .

It is not an unprimeable number, because it can be changed into a prime (19832129011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110178405 + ... + 110178584.

Almost surely, 219832129010 is an apocalyptic number.

19832129010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19832129010 is an abundant number, since it is smaller than the sum of its proper divisors (31731406650).

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

19832129010 is a wasteful number, since it uses less digits than its factorization.

19832129010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220357002 (or 220356999 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 19832129010 in words is "nineteen billion, eight hundred thirty-two million, one hundred twenty-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 220356989 440713978 661070967 1101784945 1322141934 1983212901 2203569890 3305354835 3966425802 6610709670 9916064505 19832129010