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4405106102712 = 2337149175978991
BaseRepresentation
bin100000000011010010011…
…0010001101000110111000
3120121010100102021222001020
41000012210302031012320
51034133124130241322
613211402223422440
7633154431032010
oct100064462150670
916533312258036
104405106102712
111449216610567
125b18a5154a20
1325c527264b13
141132cb702c40
15798c0cb805c
hex401a4c8d1b8

4405106102712 has 64 divisors (see below), whose sum is σ = 12670487424000. Its totient is φ = 1250154744960.

The previous prime is 4405106102671. The next prime is 4405106102713. The reversal of 4405106102712 is 2172016015044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405106102713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87964464 + ... + 88014527.

It is an arithmetic number, because the mean of its divisors is an integer number (197976366000).

Almost surely, 24405106102712 is an apocalyptic number.

4405106102712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4405106102712 is an abundant number, since it is smaller than the sum of its proper divisors (8265381321288).

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

4405106102712 is a wasteful number, since it uses less digits than its factorization.

4405106102712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175979156 (or 175979152 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 4405106102712 in words is "four trillion, four hundred five billion, one hundred six million, one hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 3129 3576 4172 6258 8344 12516 25032 175978991 351957982 527936973 703915964 1055873946 1231852937 1407831928 2111747892 2463705874 3695558811 4223495784 4927411748 7391117622 9854823496 14782235244 26220869659 29564470488 52441739318 78662608977 104883478636 157325217954 183546087613 209766957272 314650435908 367092175226 550638262839 629300871816 734184350452 1101276525678 1468368700904 2202553051356 4405106102712