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4006312068852 = 223347789265577
BaseRepresentation
bin111010010011001010110…
…011101100011011110100
3112011222222202222000121000
4322103022303230123310
51011114411342200402
612304250243323300
7562306101465162
oct72231263543364
915158882860530
104006312068852
11130508179a3a5
12548549980530
13230a41729712
14dbc99784232
156e3301d7c1c
hex3a4cacec6f4

4006312068852 has 48 divisors (see below), whose sum is σ = 10607729368320. Its totient is φ = 1307023793856.

The previous prime is 4006312068817. The next prime is 4006312068949. The reversal of 4006312068852 is 2588602136004.

4006312068852 is a `hidden beast` number, since 4 + 0 + 0 + 631 + 2 + 0 + 6 + 8 + 8 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4006312068798 and 4006312068807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394627713 + ... + 394637864.

It is an arithmetic number, because the mean of its divisors is an integer number (220994361840).

Almost surely, 24006312068852 is an apocalyptic number.

It is an amenable number.

4006312068852 is an abundant number, since it is smaller than the sum of its proper divisors (6601417299468).

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

4006312068852 is a wasteful number, since it uses less digits than its factorization.

4006312068852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789265637 (or 789265629 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4006312068852 in words is "four trillion, six billion, three hundred twelve million, sixty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 789265577 1578531154 2367796731 3157062308 4735593462 7103390193 9471186924 14206780386 21310170579 28413560772 37095482119 42620341158 74190964238 85240682316 111286446357 148381928476 222572892714 333859339071 445145785428 667718678142 1001578017213 1335437356284 2003156034426 4006312068852