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23060326133264 = 24710317977314447
BaseRepresentation
bin1010011111001001001101…
…00011000010111000010000
310000122112201202222212120212
411033210212203002320100
511010310021442231024
6121013433444023252
74600024243655360
oct517444643027020
9100575652885525
1023060326133264
117390913a145a2
1227052b4691b28
13cb376bcbb884
1459a1a90609a0
1529ecba79ea0e
hex14f9268c2e10

23060326133264 has 160 divisors (see below), whose sum is σ = 51916597125120. Its totient is φ = 9719106080256.

The previous prime is 23060326133237. The next prime is 23060326133267. The reversal of 23060326133264 is 46233162306032.

It is not an unprimeable number, because it can be changed into a prime (23060326133267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596194489 + ... + 1596208935.

It is an arithmetic number, because the mean of its divisors is an integer number (324478732032).

Almost surely, 223060326133264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23060326133264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25958298562560).

23060326133264 is an abundant number, since it is smaller than the sum of its proper divisors (28856270991856).

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

23060326133264 is a wasteful number, since it uses less digits than its factorization.

23060326133264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15511 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 41.

Adding to 23060326133264 its reverse (46233162306032), we get a palindrome (69293488439296).

The spelling of 23060326133264 in words is "twenty-three trillion, sixty billion, three hundred twenty-six million, one hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 179 206 358 412 716 721 773 824 1253 1432 1442 1546 1648 2506 2864 2884 3092 5012 5411 5768 6184 10024 10822 11536 12368 14447 18437 20048 21644 28894 36874 43288 57788 73748 79619 86576 101129 115576 129059 138367 147496 159238 202258 231152 258118 276734 294992 318476 404516 516236 553468 557333 636952 809032 968569 1032472 1106936 1114666 1273904 1488041 1618064 1937138 2064944 2213872 2229332 2586013 2976082 3874276 4458664 5172026 5952164 7748552 8917328 10344052 10416287 11167531 11904328 14251801 15497104 18102091 20688104 20832574 22335062 23808656 28503602 36204182 41376208 41665148 44670124 57007204 72408364 78172717 83330296 89340248 99762607 114014408 144816728 156345434 166660592 178680496 199525214 228028816 266359339 289633456 312690868 399050428 532718678 625381736 798100856 1065437356 1150255693 1250763472 1596201712 1864515373 1998988049 2130874712 2300511386 3729030746 3997976098 4261749424 4601022772 7458061492 7995952196 8051789851 9202045544 13992916343 14916122984 15991904392 16103579702 18404091088 27985832686 29832245968 31983808784 32207159404 55971665372 64414318808 111943330744 128828637616 205895769047 223886661488 411791538094 823583076188 1441270383329 1647166152376 2882540766658 3294332304752 5765081533316 11530163066632 23060326133264