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38678632552341 = 336161338310431
BaseRepresentation
bin10001100101101100100100…
…01001110101011110010101
312001221122022101221202022000
420302312102021311132111
520032202314413133331
6214132415110025513
711101303400051265
oct1062662211653625
9161848271852260
1038678632552341
11113625747a9231
124408217948299
1318774c1703892
1497a0ad1ab7a5
154711beeb60e6
hex232d92275795

38678632552341 has 32 divisors (see below), whose sum is σ = 58336061015040. Its totient is φ = 25321661812800.

The previous prime is 38678632552327. The next prime is 38678632552381. The reversal of 38678632552341 is 14325523687683.

38678632552341 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 8 + 6 + 32 + 552 + 3 + 41 = 666.

38678632552341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38678632552341 - 233 = 38670042617749 is a prime.

It is a super-2 number, since 2×386786325523412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38678632552321) by changing a digit.

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, 18145605 + ... + 20164826.

It is an arithmetic number, because the mean of its divisors is an integer number (1823001906720).

Almost surely, 238678632552341 is an apocalyptic number.

It is an amenable number.

38678632552341 is a deficient number, since it is larger than the sum of its proper divisors (19657428462699).

38678632552341 is a wasteful number, since it uses less digits than its factorization.

38678632552341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38311114 (or 38311108 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 38678632552341 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty-two million, five hundred fifty-two thousand, three hundred forty-one".

Divisors: 1 3 9 27 61 183 549 613 1647 1839 5517 16551 37393 112179 336537 1009611 38310431 114931293 344793879 1034381637 2336936291 7010808873 21032426619 23484294203 63097279857 70452882609 211358647827 634075943481 1432541946383 4297625839149 12892877517447 38678632552341