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126162045378 = 23241197867773
BaseRepresentation
bin111010101111111011…
…0000000100111000010
3110001122110010221122100
41311133312000213002
54031334440423003
6133542534251230
712054261456165
oct1653766004702
9401573127570
10126162045378
1149561205006
122054b4b6b16
13bb87a0b875
14616b897adc
153435e4bba3
hex1d5fd809c2

126162045378 has 48 divisors (see below), whose sum is σ = 281439934776. Its totient is φ = 40819994880.

The previous prime is 126162045377. The next prime is 126162045389. The reversal of 126162045378 is 873540261621.

126162045378 is a `hidden beast` number, since 1 + 2 + 616 + 20 + 4 + 5 + 3 + 7 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124804638729 + 1357406649 = 353277^2 + 36843^2 .

It is a super-3 number, since 3×1261620453783 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126162045377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288501 + ... + 579272.

Almost surely, 2126162045378 is an apocalyptic number.

126162045378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

126162045378 is an abundant number, since it is smaller than the sum of its proper divisors (155277889398).

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

126162045378 is a wasteful number, since it uses less digits than its factorization.

126162045378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868019 (or 868016 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 126162045378 in words is "one hundred twenty-six billion, one hundred sixty-two million, forty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 41 82 123 197 246 369 394 591 738 1182 1773 3546 8077 16154 24231 48462 72693 145386 867773 1735546 2603319 5206638 7809957 15619914 35578693 71157386 106736079 170951281 213472158 320208237 341902562 512853843 640416474 1025707686 1538561529 3077123058 7009002521 14018005042 21027007563 42054015126 63081022689 126162045378