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4034376666944 = 261317921270577
BaseRepresentation
bin111010101101010011100…
…101101000111101000000
3112021200102122110022122222
4322231103211220331000
51012044400411320234
612325211141150212
7564321420566651
oct72552345507500
915250378408588
104034376666944
111315a734a8318
12551a806bb368
13233594b44290
14dd39cb4b528
156ee23e5e42e
hex3ab53968f40

4034376666944 has 56 divisors (see below), whose sum is σ = 8622053472648. Its totient is φ = 1861909217280.

The previous prime is 4034376666937. The next prime is 4034376666989. The reversal of 4034376666944 is 4496666734304.

It is a happy number.

4034376666944 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 4 ways, for example, as 335370708544 + 3699005958400 = 579112^2 + 1923280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14774984 + ... + 15045560.

It is an arithmetic number, because the mean of its divisors is an integer number (153965240583).

Almost surely, 24034376666944 is an apocalyptic number.

It is an amenable number.

4034376666944 is an abundant number, since it is smaller than the sum of its proper divisors (4587676805704).

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

4034376666944 is a wasteful number, since it uses less digits than its factorization.

4034376666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288523 (or 288513 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 62.

The spelling of 4034376666944 in words is "four trillion, thirty-four billion, three hundred seventy-six million, six hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 17921 35842 71684 143368 232973 270577 286736 465946 541154 573472 931892 1082308 1146944 1863784 2164616 3517501 3727568 4329232 7035002 7455136 8658464 14070004 14910272 17316928 28140008 56280016 112560032 225120064 4849010417 9698020834 19396041668 38792083336 63037135421 77584166672 126074270842 155168333344 252148541684 310336666688 504297083368 1008594166736 2017188333472 4034376666944