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38714610461076 = 22321128887651621
BaseRepresentation
bin10001100110101111100101…
…00110101010100110010100
312002002002011202201212211100
420303113302212222212110
520033300010234223301
6214201125125310100
711104016065166424
oct1063276246524624
9162062152655740
1038714610461076
1111376857354600
124413198865330
13187aa063cb484
1497bb23514484
154720c8812286
hex2335f29aa994

38714610461076 has 54 divisors (see below), whose sum is σ = 107567247581066. Its totient is φ = 11731700138400.

The previous prime is 38714610461069. The next prime is 38714610461129. The reversal of 38714610461076 is 67016401641783.

38714610461076 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 4 + 6 + 10 + 4 + 610 + 7 + 6 = 666.

38714610461076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30189530250000 + 8525080211076 = 5494500^2 + 2919774^2 .

It is a super-2 number, since 2×387146104610762 (a number of 28 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 4443821455 + ... + 4443830166.

Almost surely, 238714610461076 is an apocalyptic number.

38714610461076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38714610461076 is an abundant number, since it is smaller than the sum of its proper divisors (68852637119990).

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

38714610461076 is a wasteful number, since it uses less digits than its factorization.

38714610461076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887651653 (or 8887651637 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 38714610461076 in words is "thirty-eight trillion, seven hundred fourteen billion, six hundred ten million, four hundred sixty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 8887651621 17775303242 26662954863 35550606484 53325909726 79988864589 97764167831 106651819452 159977729178 195528335662 293292503493 319955458356 391056671324 586585006986 879877510479 1075405846141 1173170013972 1759755020958 2150811692282 3226217538423 3519510041916 4301623384564 6452435076846 9678652615269 12904870153692 19357305230538 38714610461076