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38873267234648 = 23711316533117421
BaseRepresentation
bin10001101011010111000110…
…10010001110011101011000
312002122020200211110001120022
420311223203102032131120
520043344422403002043
6214402044334450012
711121333541415540
oct1065534322163530
9162566624401508
1038873267234648
1111428072a25880
124439a96663908
13188c96c2a6b52
14985694894320
154762b23c1868
hex235ae348e758

38873267234648 has 128 divisors (see below), whose sum is σ = 93947626967040. Its totient is φ = 14634416448000.

The previous prime is 38873267234587. The next prime is 38873267234759. The reversal of 38873267234648 is 84643276237883.

38873267234648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 62348432-1.

It is a super-2 number, since 2×388732672346482 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10910978 + ... + 14028398.

It is an arithmetic number, because the mean of its divisors is an integer number (733965835680).

Almost surely, 238873267234648 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 38873267234648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46973813483520).

38873267234648 is an abundant number, since it is smaller than the sum of its proper divisors (55074359732392).

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

38873267234648 is a wasteful number, since it uses less digits than its factorization.

38873267234648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118129 (or 3118125 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 71.

The spelling of 38873267234648 in words is "thirty-eight trillion, eight hundred seventy-three billion, two hundred sixty-seven million, two hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 653 682 868 1306 1364 1736 2387 2612 2728 4571 4774 5224 7183 9142 9548 14366 18284 19096 20243 28732 36568 40486 50281 57464 80972 100562 141701 161944 201124 222673 283402 402248 445346 566804 890692 1133608 1558711 1781384 3117421 3117422 6234842 6234844 12469684 12469688 21821947 24939368 34291631 43643894 68583262 87287788 96640051 137166524 174575576 193280102 240041417 274333048 386560204 480082834 676480357 773120408 960165668 1063040561 1352960714 1920331336 2035675913 2126081122 2705921428 4071351826 4252162244 5411842856 7441283927 8142703652 8504324488 14249731391 14882567854 16285407304 22392435043 28499462782 29765135708 44784870086 56998925564 59530271416 63105953303 89569740172 113997851128 126211906606 156747045301 179139480344 252423813212 313494090602 441741673121 504847626424 626988181204 694165486333 883483346242 1253976362408 1388330972666 1766966692484 2776661945332 3533933384968 4859158404331 5553323890664 9718316808662 19436633617324 38873267234648