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12430688016704 = 263726669196837
BaseRepresentation
bin1011010011100011111010…
…1111100101100101000000
31122000100210000120020122112
42310320332233211211000
53112131022113013304
642234325040554452
72422042015523666
oct264707657454500
948010700506575
1012430688016704
113a62909355381
121489198322a28
136c2293ac7b99
1430d911724c36
1516853da49b6e
hexb4e3ebe5940

12430688016704 has 56 divisors (see below), whose sum is σ = 25334904813960. Its totient is φ = 6047104260096.

The previous prime is 12430688016653. The next prime is 12430688016709. The reversal of 12430688016704 is 40761088603421.

It can be written as a sum of positive squares in 4 ways, for example, as 7528218937600 + 4902469079104 = 2743760^2 + 2214152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430688016709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63053774 + ... + 63250610.

It is an arithmetic number, because the mean of its divisors is an integer number (452409014535).

Almost surely, 212430688016704 is an apocalyptic number.

It is an amenable number.

12430688016704 is an abundant number, since it is smaller than the sum of its proper divisors (12904216797256).

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

12430688016704 is a wasteful number, since it uses less digits than its factorization.

12430688016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223555 (or 223545 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 12430688016704 in words is "twelve trillion, four hundred thirty billion, six hundred eighty-eight million, sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 26669 53338 106676 196837 213352 393674 426704 787348 853408 986753 1574696 1706816 1973506 3149392 3947012 6298784 7282969 7894024 12597568 14565938 15788048 29131876 31576096 58263752 63152192 116527504 233055008 466110016 5249445953 10498891906 20997783812 41995567624 83991135248 167982270496 194229500261 335964540992 388459000522 776918001044 1553836002088 3107672004176 6215344008352 12430688016704