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38305401948 = 22321196730813
BaseRepresentation
bin100011101011001011…
…100000110001011100
310122212120101000222200
4203223023200301130
51111422140330243
625333001411500
72524146354462
oct435313406134
9118776330880
1038305401948
1115277445490
127510499b90
1337c5c77a18
141bd54d0832
15ee2d4dad3
hex8eb2e0c5c

38305401948 has 36 divisors (see below), whose sum is σ = 105630048888. Its totient is φ = 11607697440.

The previous prime is 38305401931. The next prime is 38305401989. The reversal of 38305401948 is 84910450383.

38305401948 is a `hidden beast` number, since 38 + 30 + 540 + 1 + 9 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48365011 + ... + 48365802.

Almost surely, 238305401948 is an apocalyptic number.

It is an amenable number.

38305401948 is an abundant number, since it is smaller than the sum of its proper divisors (67324646940).

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

38305401948 is a wasteful number, since it uses less digits than its factorization.

38305401948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96730834 (or 96730829 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38305401948 in words is "thirty-eight billion, three hundred five million, four hundred one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 96730813 193461626 290192439 386923252 580384878 870577317 1064038943 1160769756 1741154634 2128077886 3192116829 3482309268 4256155772 6384233658 9576350487 12768467316 19152700974 38305401948