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38533052586870 = 23356119711876093
BaseRepresentation
bin10001100001011101011001…
…11010010101101101110110
312001102201112200120020221000
420300232230322111231312
520022311142430234440
6213541501234104130
711054630651550132
oct1060565472255566
9161381480506830
1038533052586870
11113068596a3486
1243a3b6941b046
131866860ab048a
1497301c86c3c2
1546c4ee47b730
hex230bace95b76

38533052586870 has 128 divisors (see below), whose sum is σ = 104969469559680. Its totient is φ = 10055724618240.

The previous prime is 38533052586869. The next prime is 38533052586893. The reversal of 38533052586870 is 7868525033583.

It is a happy number.

38533052586870 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 30 + 525 + 8 + 6 + 8 + 70 = 666.

It is a super-2 number, since 2×385330525868702 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38533052586798 and 38533052586807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2693457 + ... + 9182636.

It is an arithmetic number, because the mean of its divisors is an integer number (820073980935).

Almost surely, 238533052586870 is an apocalyptic number.

38533052586870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38533052586870 is an abundant number, since it is smaller than the sum of its proper divisors (66436416972810).

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

38533052586870 is a wasteful number, since it uses less digits than its factorization.

38533052586870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876367 (or 11876361 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 38533052586870 in words is "thirty-eight trillion, five hundred thirty-three billion, fifty-two million, five hundred eighty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 197 270 305 366 394 549 591 610 915 985 1098 1182 1647 1773 1830 1970 2745 2955 3294 3546 5319 5490 5910 8235 8865 10638 12017 16470 17730 24034 26595 36051 53190 60085 72102 108153 120170 180255 216306 324459 360510 540765 648918 1081530 1622295 3244590 11876093 23752186 35628279 59380465 71256558 106884837 118760930 178141395 213769674 320654511 356282790 534424185 641309022 724441673 1068848370 1448883346 1603272555 2173325019 2339590321 3206545110 3622208365 4346650038 4679180642 6519975057 7018770963 7244416730 10866625095 11697951605 13039950114 14037541926 19559925171 21056312889 21733250190 23395903210 32599875285 35093854815 39119850342 42112625778 63168938667 65199750570 70187709630 97799625855 105281564445 126337877334 142715009581 195599251710 210563128890 285430019162 315844693335 428145028743 631689386670 713575047905 856290057486 1284435086229 1427150095810 2140725143715 2568870172458 3853305258687 4281450287430 6422175431145 7706610517374 12844350862290 19266526293435 38533052586870