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38407118121361 = 11178912377186451
BaseRepresentation
bin10001011101110010110101…
…01000011110100110010001
312000222200111002122120011201
420232321122220132212101
520013230234214340421
6213403553025311201
711042552122344043
oct1056713250364621
9160880432576151
1038407118121361
11112684049a9610
124383682195501
131857a11294472
1496acb32d5a93
154690cd4d5b91
hex22ee5aa1e991

38407118121361 has 32 divisors (see below), whose sum is σ = 44865631520640. Its totient is φ = 32489673216000.

The previous prime is 38407118121353. The next prime is 38407118121371. The reversal of 38407118121361 is 16312181170483.

38407118121361 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 38407118121361 - 23 = 38407118121353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38407118121371) 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, 205897186 + ... + 206083636.

It is an arithmetic number, because the mean of its divisors is an integer number (1402050985020).

Almost surely, 238407118121361 is an apocalyptic number.

It is an amenable number.

38407118121361 is a deficient number, since it is larger than the sum of its proper divisors (6458513399279).

38407118121361 is a wasteful number, since it uses less digits than its factorization.

38407118121361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198945.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 38407118121361 in words is "thirty-eight trillion, four hundred seven billion, one hundred eighteen million, one hundred twenty-one thousand, three hundred sixty-one".

Divisors: 1 11 17 89 187 979 1513 12377 16643 136147 186451 210409 1101553 2050961 2314499 3169667 12117083 16594139 18726401 34866337 182535529 205990411 282100363 2307704027 3103103993 25384744297 39230968459 205385658403 431540653049 2259242242433 3491556192851 38407118121361