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11677642425 = 34522926857
BaseRepresentation
bin10101110000000101…
…01010111010111001
31010010211112200220000
422320002222322321
5142403434024200
65210432223213
7562245215511
oct127002527271
933124480800
1011677642425
114a527a7659
12231a99ab09
1311414394b7
147caca8841
154852e7300
hex2b80aaeb9

11677642425 has 90 divisors (see below), whose sum is σ = 22405915818. Its totient is φ = 6012437760.

The previous prime is 11677642381. The next prime is 11677642429. The reversal of 11677642425 is 52424677611.

11677642425 is a `hidden beast` number, since 1 + 167 + 7 + 64 + 2 + 425 = 666.

11677642425 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 9 ways, for example, as 6709084281 + 4968558144 = 81909^2 + 70488^2 .

It is not a de Polignac number, because 11677642425 - 210 = 11677641401 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11677642429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1699597 + ... + 1706453.

Almost surely, 211677642425 is an apocalyptic number.

11677642425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11677642425 is a deficient number, since it is larger than the sum of its proper divisors (10728273393).

11677642425 is an equidigital number, since it uses as much as digits as its factorization.

11677642425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6894 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

It can be divided in two parts, 116776 and 42425, that added together give a square (159201 = 3992).

The spelling of 11677642425 in words is "eleven billion, six hundred seventy-seven million, six hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 841 1305 2025 2175 2349 2523 3915 4205 6525 6857 7569 11745 12615 19575 20571 21025 22707 34285 37845 58725 61713 63075 68121 102855 113535 171425 185139 189225 198853 308565 340605 514275 555417 567675 596559 925695 994265 1542825 1703025 1789677 2777085 2982795 4628475 4971325 5369031 5766737 8948385 13885425 14913975 16107093 17300211 26845155 28833685 44741925 51900633 80535465 86501055 134225775 144168425 155701899 259503165 402677325 432505275 467105697 778509495 1297515825 2335528485 3892547475 11677642425