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56575606712553 = 3219974594974231
BaseRepresentation
bin11001101110100100010001…
…11100001110100011101001
321102022120112022021110212200
430313102020330032203221
524403413320304300203
6320154250325530413
714626311163313235
oct1467221074164351
9242276468243780
1056575606712553
1117032642080145
126418894273a09
132575097ab2a76
14dd83b9b075c5
156819dc1899a3
hex337488f0e8e9

56575606712553 has 48 divisors (see below), whose sum is σ = 86911270992000. Its totient is φ = 35362345374720.

The previous prime is 56575606712539. The next prime is 56575606712693. The reversal of 56575606712553 is 35521760657565.

56575606712553 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 5 + 6 + 0 + 6 + 71 + 2 + 553 = 666.

56575606712553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56575606712553 - 28 = 56575606712297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56575606712353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 762118948 + ... + 762193178.

It is an arithmetic number, because the mean of its divisors is an integer number (1810651479000).

Almost surely, 256575606712553 is an apocalyptic number.

It is an amenable number.

56575606712553 is a deficient number, since it is larger than the sum of its proper divisors (30335664279447).

56575606712553 is a wasteful number, since it uses less digits than its factorization.

56575606712553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120302 (or 120299 counting only the distinct ones).

The product of its (nonzero) digits is 198450000, while the sum is 63.

The spelling of 56575606712553 in words is "fifty-six trillion, five hundred seventy-five billion, six hundred six million, seven hundred twelve thousand, five hundred fifty-three".

Divisors: 1 3 9 19 57 97 171 291 873 1843 5529 16587 45949 74231 137847 222693 413541 668079 873031 1410389 2619093 4231167 4457053 7200407 7857279 12693501 13371159 21601221 40113477 64803663 84684007 136807733 254052021 410423199 762156063 1231269597 3410840219 10232520657 30697561971 64805964161 194417892483 330851501243 583253677449 992554503729 2977663511187 6286178523617 18858535570851 56575606712553