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42775753016464 = 2413682093015037
BaseRepresentation
bin10011011100111100000011…
…00100000100010010010000
312121110022200202221012211221
421232132001210010102100
521101314220233011324
6230550524252414424
712003306015303526
oct1156360144042220
9177408622835757
1042775753016464
11126a2105463a86
12496a289177414
131ab3975584760
14a7c500d62316
154e2a674b00e4
hex26e781904490

42775753016464 has 40 divisors (see below), whose sum is σ = 89254592019320. Its totient is φ = 19742359246848.

The previous prime is 42775753016431. The next prime is 42775753016467. The reversal of 42775753016464 is 46461035757724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10744680856464 + 32031072160000 = 3277908^2 + 5659600^2 .

It is a super-2 number, since 2×427757530164642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42775753016467) 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, 12679954 + ... + 15694990.

It is an arithmetic number, because the mean of its divisors is an integer number (2231364800483).

Almost surely, 242775753016464 is an apocalyptic number.

It is an amenable number.

42775753016464 is an abundant number, since it is smaller than the sum of its proper divisors (46478839002856).

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

42775753016464 is a wasteful number, since it uses less digits than its factorization.

42775753016464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083267 (or 3083261 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 61.

The spelling of 42775753016464 in words is "forty-two trillion, seven hundred seventy-five billion, seven hundred fifty-three million, sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 68209 136418 272836 545672 886717 1091344 1773434 3015037 3546868 6030074 7093736 12060148 14187472 24120296 39195481 48240592 78390962 156781924 313563848 627127696 205652658733 411305317466 822610634932 1645221269864 2673484563529 3290442539728 5346969127058 10693938254116 21387876508232 42775753016464