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38256325766680 = 2357148139223637
BaseRepresentation
bin10001011001011001111101…
…01101010010111000011000
312000110021021010020021000111
420230230332231102320120
520003242423344013210
6213210414034014104
711025633262440610
oct1054547655227030
9160407233207014
1038256325766680
111120a46461168a
12435a3ba117334
13184672c80aca8
1496388a609a40
1546520508e88a
hex22cb3eb52e18

38256325766680 has 64 divisors (see below), whose sum is σ = 98380060799040. Its totient is φ = 13115567657472.

The previous prime is 38256325766669. The next prime is 38256325766693. The reversal of 38256325766680 is 8666752365283.

It is a happy number.

38256325766680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×382563257666802 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 464179 + ... + 8759458.

It is an arithmetic number, because the mean of its divisors is an integer number (1537188449985).

Almost surely, 238256325766680 is an apocalyptic number.

It is an amenable number.

38256325766680 is an abundant number, since it is smaller than the sum of its proper divisors (60123735032360).

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

38256325766680 is a wasteful number, since it uses less digits than its factorization.

38256325766680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238468 (or 9238464 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 67.

The spelling of 38256325766680 in words is "thirty-eight trillion, two hundred fifty-six billion, three hundred twenty-five million, seven hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 14813 29626 59252 74065 103691 118504 148130 207382 296260 414764 518455 592520 829528 1036910 2073820 4147640 9223637 18447274 36894548 46118185 64565459 73789096 92236370 129130918 184472740 258261836 322827295 368945480 516523672 645654590 1291309180 2582618360 136629734881 273259469762 546518939524 683148674405 956408144167 1093037879048 1366297348810 1912816288334 2732594697620 3825632576668 4782040720835 5465189395240 7651265153336 9564081441670 19128162883340 38256325766680