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38387752825128 = 23375916723190757
BaseRepresentation
bin10001011101001110110000…
…10111101111000100101000
312000220211111111102120210220
420232213120113233010220
520012421104210401003
6213351031252010040
711041265205135330
oct1056473027570450
9160824444376726
1038387752825128
1111260177780963
12437b978900920
131855c462463b5
14969d9742c0c0
15468848340353
hex22e9d85ef128

38387752825128 has 128 divisors (see below), whose sum is σ = 112206163507200. Its totient is φ = 10717468740864.

The previous prime is 38387752825117. The next prime is 38387752825133. The reversal of 38387752825128 is 82152825778383.

38387752825128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9940075 + ... + 13250682.

It is an arithmetic number, because the mean of its divisors is an integer number (876610652400).

Almost surely, 238387752825128 is an apocalyptic number.

It is an amenable number.

38387752825128 is an abundant number, since it is smaller than the sum of its proper divisors (73818410682072).

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

38387752825128 is a wasteful number, since it uses less digits than its factorization.

38387752825128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23190999 (or 23190995 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 69.

The spelling of 38387752825128 in words is "thirty-eight trillion, three hundred eighty-seven billion, seven hundred fifty-two million, eight hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 167 168 177 236 334 354 413 472 501 668 708 826 1002 1169 1239 1336 1416 1652 2004 2338 2478 3304 3507 4008 4676 4956 7014 9352 9853 9912 14028 19706 28056 29559 39412 59118 68971 78824 118236 137942 206913 236472 275884 413826 551768 827652 1655304 23190757 46381514 69572271 92763028 139144542 162335299 185526056 278289084 324670598 487005897 556578168 649341196 974011794 1298682392 1368254663 1948023588 2736509326 3872856419 3896047176 4104763989 5473018652 7745712838 8209527978 9577782641 10946037304 11618569257 15491425676 16419055956 19155565282 23237138514 27109994933 28733347923 30982851352 32838111912 38311130564 46474277028 54219989866 57466695846 76622261128 81329984799 92948554056 108439979732 114933391692 162659969598 216879959464 228498528721 229866783384 325319939196 456997057442 650639878392 685495586163 913994114884 1370991172326 1599489701047 1827988229768 2741982344652 3198979402094 4798469103141 5483964689304 6397958804188 9596938206282 12795917608376 19193876412564 38387752825128