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12434432441610 = 2353697911208553
BaseRepresentation
bin1011010011110001110111…
…1011011011110100001010
31122000201102222100201222110
42310330131323123310022
53112211204201112420
642240144401003150
72422233553565454
oct264743573336412
948021388321873
1012434432441610
113a6445aa48213
121489a623234b6
136c273c7a441a
1430db88b4b2d4
151686ac638ee0
hexb4f1dedbd0a

12434432441610 has 32 divisors (see below), whose sum is σ = 29843447538240. Its totient is φ = 3315758686848.

The previous prime is 12434432441579. The next prime is 12434432441687. The reversal of 12434432441610 is 1614423443421.

It is a super-2 number, since 2×124344324416102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4494907 + ... + 6713646.

It is an arithmetic number, because the mean of its divisors is an integer number (932607735570).

Almost surely, 212434432441610 is an apocalyptic number.

12434432441610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12434432441610 is an abundant number, since it is smaller than the sum of its proper divisors (17409015096630).

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

12434432441610 is a wasteful number, since it uses less digits than its factorization.

12434432441610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245542.

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 12434432441610 in words is "twelve trillion, four hundred thirty-four billion, four hundred thirty-two million, four hundred forty-one thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 36979 73958 110937 184895 221874 369790 554685 1109370 11208553 22417106 33625659 56042765 67251318 112085530 168128295 336256590 414481081387 828962162774 1243443244161 2072405406935 2486886488322 4144810813870 6217216220805 12434432441610