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126765420736 = 2623409210557
BaseRepresentation
bin111011000001111001…
…1101101000011000000
3110010012111111121000211
41312003303231003000
54034103421430421
6134122450523504
712105236204053
oct1660363550300
9403174447024
10126765420736
1149840858929
1220699596594
13bc52a198c6
1461c7a7ca9a
15346ddd49e1
hex1d83ced0c0

126765420736 has 56 divisors (see below), whose sum is σ = 263130121440. Its totient is φ = 60478420992.

The previous prime is 126765420709. The next prime is 126765420739. The reversal of 126765420736 is 637024567621.

It is a self number, because there is not a number n which added to its sum of digits gives 126765420736.

It is not an unprimeable number, because it can be changed into a prime (126765420739) 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 7 ways as a sum of consecutive naturals, for example, 496770 + ... + 707326.

Almost surely, 2126765420736 is an apocalyptic number.

126765420736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126765420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131565060720).

126765420736 is an abundant number, since it is smaller than the sum of its proper divisors (136364700704).

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

126765420736 is a wasteful number, since it uses less digits than its factorization.

126765420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211001 (or 210991 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 126765420736 in words is "one hundred twenty-six billion, seven hundred sixty-five million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 409 736 818 1472 1636 3272 6544 9407 13088 18814 26176 37628 75256 150512 210557 301024 421114 602048 842228 1684456 3368912 4842811 6737824 9685622 13475648 19371244 38742488 77484976 86117813 154969952 172235626 309939904 344471252 688942504 1377885008 1980709699 2755770016 3961419398 5511540032 7922838796 15845677592 31691355184 63382710368 126765420736