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38275042549248 = 293219143488041
BaseRepresentation
bin10001011001111100110100…
…10100001001111000000000
312000112001120112011022212200
420230332122110021320000
520004044241343033443
6213223151203353200
711030165143453041
oct1054763224117000
9160461515138780
1038275042549248
111121739976642a
124361b62382800
1318484233a576b
149647442dc8c8
1546594d332dd3
hex22cf9a509e00

38275042549248 has 120 divisors (see below), whose sum is σ = 111042714347136. Its totient is φ = 12691549593600.

The previous prime is 38275042549223. The next prime is 38275042549277. The reversal of 38275042549248 is 84294524057283.

38275042549248 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 5 + 0 + 42 + 549 + 2 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20863893 + ... + 22624148.

Almost surely, 238275042549248 is an apocalyptic number.

It is an amenable number.

38275042549248 is an abundant number, since it is smaller than the sum of its proper divisors (72767671797888).

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

38275042549248 is a wasteful number, since it uses less digits than its factorization.

38275042549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43488256 (or 43488237 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 38275042549248 in words is "thirty-eight trillion, two hundred seventy-five billion, forty-two million, five hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 256 288 382 384 512 573 576 764 768 1146 1152 1528 1536 1719 2292 2304 3056 3438 4584 4608 6112 6876 9168 12224 13752 18336 24448 27504 36672 48896 55008 73344 97792 110016 146688 220032 293376 440064 880128 43488041 86976082 130464123 173952164 260928246 347904328 391392369 521856492 695808656 782784738 1043712984 1391617312 1565569476 2087425968 2783234624 3131138952 4174851936 5566469248 6262277904 8306215831 8349703872 11132938496 12524555808 16612431662 16699407744 22265876992 24918647493 25049111616 33224863324 33398815488 49837294986 50098223232 66449726648 66797630976 74755942479 99674589972 100196446464 132899453296 149511884958 199349179944 200392892928 265798906592 299023769916 398698359888 531597813184 598047539832 797396719776 1063195626368 1196095079664 1594793439552 2126391252736 2392190159328 3189586879104 4252782505472 4784380318656 6379173758208 9568760637312 12758347516416 19137521274624 38275042549248