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64829540240296 = 23132267171794769
BaseRepresentation
bin11101011110110010011011…
…01101111000101110101000
322111112122101010101122111221
432233121031231320232220
531444131344300142141
6345514140222431424
716440531304564246
oct1657311555705650
9274478333348457
1064829540240296
11197250653aa1a7
127330495a32574
132a23526682600
141201aa3367796
1577657240dbd1
hex3af64db78ba8

64829540240296 has 48 divisors (see below), whose sum is σ = 131630065040700. Its totient is φ = 29920189658112.

The previous prime is 64829540240293. The next prime is 64829540240303. The reversal of 64829540240296 is 69204204592846.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17275910344900 + 47553629895396 = 4156430^2 + 6895914^2 .

It is not an unprimeable number, because it can be changed into a prime (64829540240293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35224000 + ... + 37018768.

Almost surely, 264829540240296 is an apocalyptic number.

It is an amenable number.

64829540240296 is an abundant number, since it is smaller than the sum of its proper divisors (66800524800404).

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

64829540240296 is a wasteful number, since it uses less digits than its factorization.

64829540240296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821518 (or 1821501 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 61.

The spelling of 64829540240296 in words is "sixty-four trillion, eight hundred twenty-nine billion, five hundred forty million, two hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 26717 53434 106868 213736 347321 694642 1389284 1794769 2778568 3589538 4515173 7179076 9030346 14358152 18060692 23331997 36121384 46663994 93327988 186655976 303315961 606631922 1213263844 2426527688 47950843373 95901686746 191803373492 383606746984 623360963849 1246721927698 2493443855396 4986887710792 8103692530037 16207385060074 32414770120148 64829540240296