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38428851386070 = 23252511701144373
BaseRepresentation
bin10001011110011011010100…
…00010010011011011010110
312001001202120201121210121200
420233031222002103123112
520014104241423323240
6213421545352453330
711044251522136605
oct1057155202233326
9161052521553550
1038428851386070
1111276647851002
1243879286aa246
131859a95a94602
1496bd75881a3c
154699514c6930
hex22f36a0936d6

38428851386070 has 48 divisors (see below), whose sum is σ = 100313081446032. Its totient is φ = 10206866232000.

The previous prime is 38428851386053. The next prime is 38428851386099. The reversal of 38428851386070 is 7068315882483.

38428851386070 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 8 + 8 + 5 + 13 + 8 + 607 + 0 = 666.

38428851386070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38428851385989 and 38428851386007.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 850549597 + ... + 850594776.

It is an arithmetic number, because the mean of its divisors is an integer number (2089855863459).

Almost surely, 238428851386070 is an apocalyptic number.

38428851386070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38428851386070 is an abundant number, since it is smaller than the sum of its proper divisors (61884230059962).

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

38428851386070 is a wasteful number, since it uses less digits than its factorization.

38428851386070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701144637 (or 1701144634 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 38428851386070 in words is "thirty-eight trillion, four hundred twenty-eight billion, eight hundred fifty-one million, three hundred eighty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 251 502 753 1255 1506 2259 2510 3765 4518 7530 11295 22590 1701144373 3402288746 5103433119 8505721865 10206866238 15310299357 17011443730 25517165595 30620598714 51034331190 76551496785 153102993570 426987237623 853974475246 1280961712869 2134936188115 2561923425738 3842885138607 4269872376230 6404808564345 7685770277214 12809617128690 19214425693035 38428851386070