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38061257222688 = 2537192980988191
BaseRepresentation
bin10001010011101110100111…
…01101110110101000100000
311222202121202110100111101220
420221313103231312220200
514442043423322111223
6212541033350055040
711005556302250430
oct1051672355665040
9158677673314356
1038061257222688
11111447634a1367
12432863a04a480
13183121309b82b
149582634662c0
154600d9a326e3
hex229dd3b76a20

38061257222688 has 96 divisors (see below), whose sum is σ = 120193443901440. Its totient is φ = 10302295184640.

The previous prime is 38061257222671. The next prime is 38061257222773. The reversal of 38061257222688 is 88622275216083.

38061257222688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1490481328 + ... + 1490506863.

It is an arithmetic number, because the mean of its divisors is an integer number (1252015040640).

Almost surely, 238061257222688 is an apocalyptic number.

38061257222688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38061257222688 is an abundant number, since it is smaller than the sum of its proper divisors (82132186678752).

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

38061257222688 is a wasteful number, since it uses less digits than its factorization.

38061257222688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980988230 (or 2980988222 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 38061257222688 in words is "thirty-eight trillion, sixty-one billion, two hundred fifty-seven million, two hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 2980988191 5961976382 8942964573 11923952764 17885929146 20866917337 23847905528 35771858292 41733834674 47695811056 56638775629 62600752011 71543716584 83467669348 95391622112 113277551258 125201504022 143087433168 166935338696 169916326887 226555102516 250403008044 286174866336 333870677392 339832653774 396471429403 453110205032 500806016088 667741354784 679665307548 792942858806 906220410064 1001612032176 1189414288209 1359330615096 1585885717612 1812440820128 2003224064352 2378828576418 2718661230192 3171771435224 4757657152836 5437322460384 6343542870448 9515314305672 12687085740896 19030628611344 38061257222688