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38440217772 = 22321197071257
BaseRepresentation
bin100011110011001101…
…110010110010101100
310200012222001101112100
4203303031302302230
51112211143432042
625354215135100
72530404313515
oct436315626254
9120188041470
1038440217772
1115336556620
127549674490
133817b8b4b8
141c09385a0c
15eeeace24c
hex8f3372cac

38440217772 has 36 divisors (see below), whose sum is σ = 106001813736. Its totient is φ = 11648550720.

The previous prime is 38440217771. The next prime is 38440217813. The reversal of 38440217772 is 27771204483.

38440217772 is a `hidden beast` number, since 3 + 8 + 4 + 402 + 177 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38440217771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48535233 + ... + 48536024.

It is an arithmetic number, because the mean of its divisors is an integer number (2944494826).

Almost surely, 238440217772 is an apocalyptic number.

It is an amenable number.

38440217772 is an abundant number, since it is smaller than the sum of its proper divisors (67561595964).

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

38440217772 is a wasteful number, since it uses less digits than its factorization.

38440217772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97071278 (or 97071273 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 38440217772 in words is "thirty-eight billion, four hundred forty million, two hundred seventeen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 97071257 194142514 291213771 388285028 582427542 873641313 1067783827 1164855084 1747282626 2135567654 3203351481 3494565252 4271135308 6406702962 9610054443 12813405924 19220108886 38440217772