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4334666531445 = 3252931211064269
BaseRepresentation
bin111111000100111110010…
…000100100001001110101
3120100101112100210222202100
4333010332100210021311
51032004344113001240
613115152431132313
7625112035406325
oct77047620441165
916311470728670
104334666531445
11142135a286058
125a0107074099
132559aca32533
1410db28585285
1577b4bcc8e30
hex3f13e424275

4334666531445 has 48 divisors (see below), whose sum is σ = 7775003199600. Its totient is φ = 2231386859520.

The previous prime is 4334666531443. The next prime is 4334666531467. The reversal of 4334666531445 is 5441356664334.

4334666531445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 698025159441 + 3636641372004 = 835479^2 + 1906998^2 .

It is not a de Polignac number, because 4334666531445 - 21 = 4334666531443 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4334666531391 and 4334666531400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334666531443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3540771 + ... + 4605039.

It is an arithmetic number, because the mean of its divisors is an integer number (161979233325).

Almost surely, 24334666531445 is an apocalyptic number.

4334666531445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334666531445 is a deficient number, since it is larger than the sum of its proper divisors (3440336668155).

4334666531445 is a wasteful number, since it uses less digits than its factorization.

4334666531445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067430 (or 1067427 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 4334666531445 in words is "four trillion, three hundred thirty-four billion, six hundred sixty-six million, five hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 3121 9363 15605 28089 46815 90509 140445 271527 452545 814581 1064269 1357635 3192807 4072905 5321345 9578421 15964035 30863801 47892105 92591403 154319005 277774209 462957015 1388871045 3321583549 9964750647 16607917745 29894251941 49823753235 96325922921 149471259705 288977768763 481629614605 866933306289 1444888843815 4334666531445