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552643585346255 = 513127660371013773
BaseRepresentation
bin111110110101000000101110…
…0100101111000101011001111
32200110202012200122221210222012
41331222001130211320223033
51034414003030322040010
65235212542551411435
7224256116142313334
oct17552013445705317
92613665618853865
10552643585346255
111500a89125a2a57
1251b96042683b7b
131a94a0b30aa030
149a681411bc98b
1543d57dba0a005
hex1f6a05c978acf

552643585346255 has 32 divisors (see below), whose sum is σ = 719820674893824. Its totient is φ = 404886068246016.

The previous prime is 552643585346207. The next prime is 552643585346269.

552643585346255 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 552643585346255 - 26 = 552643585346191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544628549 + ... + 545642321.

It is an arithmetic number, because the mean of its divisors is an integer number (22494396090432).

Almost surely, 2552643585346255 is an apocalyptic number.

552643585346255 is a deficient number, since it is larger than the sum of its proper divisors (167177089547569).

552643585346255 is a wasteful number, since it uses less digits than its factorization.

552643585346255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079955.

The product of its digits is 2592000000, while the sum is 68.

The spelling of 552643585346255 in words is "five hundred fifty-two trillion, six hundred forty-three billion, five hundred eighty-five million, three hundred forty-six thousand, two hundred fifty-five".

Divisors: 1 5 13 65 127 635 1651 8255 66037 330185 858481 1013773 4292405 5068865 8386699 13179049 41933495 65895245 109027087 128749171 545135435 643745855 1673739223 8368696115 66946527601 334732638005 870304858813 4351524294065 8502209005327 42511045026635 110528717069251 552643585346255