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6164622945 = 3251329363373
BaseRepresentation
bin1011011110111000…
…01010111001100001
3120220121211021220100
411233130022321201
5100111120413240
62455413133013
7305523300435
oct55734127141
916817737810
106164622945
112683850508
12124062a169
137732177b0
14426a229c5
15261304e30
hex16f70ae61

6164622945 has 48 divisors (see below), whose sum is σ = 11904132240. Its totient is φ = 2930231808.

The previous prime is 6164622911. The next prime is 6164622967. The reversal of 6164622945 is 5492264616.

6164622945 is a `hidden beast` number, since 6 + 16 + 4 + 622 + 9 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 95589729 + 6069033216 = 9777^2 + 77904^2 .

It is not a de Polignac number, because 6164622945 - 210 = 6164621921 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6164622945.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164722 + ... + 198651.

It is an arithmetic number, because the mean of its divisors is an integer number (248002755).

Almost surely, 26164622945 is an apocalyptic number.

6164622945 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6164622945 is a deficient number, since it is larger than the sum of its proper divisors (5739509295).

6164622945 is a wasteful number, since it uses less digits than its factorization.

6164622945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363426 (or 363423 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6164622945 is about 78515.1128445983. The cubic root of 6164622945 is about 1833.5897511502.

The spelling of 6164622945 in words is "six billion, one hundred sixty-four million, six hundred twenty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 5655 16965 363373 1090119 1816865 3270357 4723849 5450595 10537817 14171547 16351785 23619245 31613451 42514641 52689085 70857735 94840353 136991621 158067255 212573205 410974863 474201765 684958105 1232924589 2054874315 6164622945