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126756077130 = 23252441576977
BaseRepresentation
bin111011000001101000…
…0000011111001001010
3110010011211220220000100
41312003100003321022
54034044023432010
6134121514350230
712105063610164
oct1660320037112
9403154826010
10126756077130
1149836556941
122069642b376
13bc50ac7a47
1461c6729934
15346d18b2c0
hex1d83403e4a

126756077130 has 48 divisors (see below), whose sum is σ = 329701384584. Its totient is φ = 33787714560.

The previous prime is 126756077087. The next prime is 126756077159. The reversal of 126756077130 is 31770657621.

126756077130 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 607 + 7 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62370567081 + 64385510049 = 249741^2 + 253743^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68799 + ... + 508178.

Almost surely, 2126756077130 is an apocalyptic number.

126756077130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126756077130 is an abundant number, since it is smaller than the sum of its proper divisors (202945307454).

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

126756077130 is a wasteful number, since it uses less digits than its factorization.

126756077130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579431 (or 579428 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 126756077130 in words is "one hundred twenty-six billion, seven hundred fifty-six million, seventy-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2441 4882 7323 12205 14646 21969 24410 36615 43938 73230 109845 219690 576977 1153954 1730931 2884885 3461862 5192793 5769770 8654655 10385586 17309310 25963965 51927930 1408400857 2816801714 4225202571 7042004285 8450405142 12675607713 14084008570 21126012855 25351215426 42252025710 63378038565 126756077130