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12434543010 = 2335371244699
BaseRepresentation
bin10111001010010100…
…00001000110100010
31012002120210020022000
423211022001012202
5200431220334020
65413511224430
7620065604661
oct134512010642
935076706260
1012434543010
115300a8022a
1224b0378116
1312321abb76
1485d614dd8
154cb9a9090
hex2e52811a2

12434543010 has 64 divisors (see below), whose sum is σ = 34054992000. Its totient is φ = 3226257216.

The previous prime is 12434543003. The next prime is 12434543029. The reversal of 12434543010 is 1034543421.

It is a happy number.

12434543010 is a `hidden beast` number, since 12 + 4 + 345 + 4 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612360 + ... + 632339.

It is an arithmetic number, because the mean of its divisors is an integer number (532109250).

Almost surely, 212434543010 is an apocalyptic number.

12434543010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12434543010 is an abundant number, since it is smaller than the sum of its proper divisors (21620448990).

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

12434543010 is a wasteful number, since it uses less digits than its factorization.

12434543010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244752 (or 1244746 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 12434543010 in words is "twelve billion, four hundred thirty-four million, five hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 1244699 2489398 3734097 6223495 7468194 11202291 12446990 18670485 22404582 33606873 37340970 46053863 56011455 67213746 92107726 112022910 138161589 168034365 230269315 276323178 336068730 414484767 460538630 690807945 828969534 1243454301 1381615890 2072423835 2486908602 4144847670 6217271505 12434543010