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38485026255348 = 2232171372059922283
BaseRepresentation
bin10001100000000011111100…
…10100011011000111110100
312001021010120122112211110200
420300001332110123013310
520021014313210132343
6213503435455120500
711051310553506651
oct1060017624330764
9161233518484420
1038485026255348
1111298454022802
1243967a5513130
131862178bc882a
14970984300c28
1546b13cee74d3
hex23007e51b1f4

38485026255348 has 144 divisors (see below), whose sum is σ = 103765588617600. Its totient is φ = 11984484575232.

The previous prime is 38485026255287. The next prime is 38485026255359. The reversal of 38485026255348 is 84355262058483.

38485026255348 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 50 + 26 + 2 + 553 + 4 + 8 = 666.

It is a super-2 number, since 2×384850262553482 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727091415 + ... + 1727113697.

It is an arithmetic number, because the mean of its divisors is an integer number (720594365400).

Almost surely, 238485026255348 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 38485026255348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51882794308800).

38485026255348 is an abundant number, since it is smaller than the sum of its proper divisors (65280562362252).

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

38485026255348 is a wasteful number, since it uses less digits than its factorization.

38485026255348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43046 (or 43041 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 38485026255348 in words is "thirty-eight trillion, four hundred eighty-five billion, twenty-six million, two hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1644 2329 2466 4658 4932 6987 9316 13974 20599 20961 22283 27948 41198 41922 44566 61797 66849 82396 83844 89132 123594 133698 185391 200547 247188 267396 350183 370782 378811 401094 700366 741564 757622 802188 1050549 1136433 1400732 1515244 2101098 2272866 2822063 3052771 3151647 3409299 4202196 4545732 5644126 6105542 6303294 6818598 8466189 9158313 11288252 12211084 12606588 13637196 16932378 18316626 25398567 27474939 33864756 36633252 47975071 50797134 51897107 54949878 95950142 101594268 103794214 109899756 143925213 155691321 191900284 207588428 287850426 311382642 431775639 459007517 467073963 575700852 622765284 863551278 918015034 934147926 1377022551 1727102556 1836030068 1868295852 2754045102 4131067653 5508090204 7803127789 8262135306 15606255578 16524270612 23409383367 31212511156 46818766734 62884029829 70228150101 93637533468 125768059658 140456300202 188652089487 251536119316 280912600404 377304178974 565956268461 754608357948 1069028507093 1131912536922 2138057014186 2263825073844 3207085521279 4276114028372 6414171042558 9621256563837 12828342085116 19242513127674 38485026255348