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38743436006055 = 3251117191250319381
BaseRepresentation
bin10001100111100101010001…
…01111011001001010100111
312002011211120200002021210100
420303302220233121022213
520034233024104143210
6214222253324555143
711106056314242234
oct1063625057311247
9162154520067710
1038743436006055
1111387aa964a150
1244188a23b2ab3
13188064b374371
1497d29999c78b
15472c142995c0
hex233ca8bd92a7

38743436006055 has 192 divisors, whose sum is σ = 81663107834880. Its totient is φ = 16746999091200.

The previous prime is 38743436005993. The next prime is 38743436006081. The reversal of 38743436006055 is 55060063434783.

38743436006055 is a `hidden beast` number, since 38 + 74 + 3 + 436 + 0 + 0 + 60 + 55 = 666.

It is not a de Polignac number, because 38743436006055 - 216 = 38743435940519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38743436005992 and 38743436006010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1999032465 + ... + 1999051845.

It is an arithmetic number, because the mean of its divisors is an integer number (425328686640).

Almost surely, 238743436006055 is an apocalyptic number.

38743436006055 is an abundant number, since it is smaller than the sum of its proper divisors (42919671828825).

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

38743436006055 is a wasteful number, since it uses less digits than its factorization.

38743436006055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31942 (or 31939 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 38743436006055 in words is "thirty-eight trillion, seven hundred forty-three billion, four hundred thirty-six million, six thousand, fifty-five".