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47459848335138 = 232823219732
BaseRepresentation
bin10101100101010000110110…
…11001101010111100100010
320020001010011102122210100200
422302220123121222330202
522210040232133211023
6244534430415330030
712665601166500111
oct1262503331527442
9206033142583320
1047459848335138
1114138677122808
1253a6053220916
1320635a1728985
14ba10d7167c78
155748160a9743
hex2b2a1b66af22

47459848335138 has 54 divisors (see below), whose sum is σ = 103006976418801. Its totient is φ = 15792718671216.

The previous prime is 47459848335121. The next prime is 47459848335239. The reversal of 47459848335138 is 83153384895474.

47459848335138 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 9 + 8 + 483 + 3 + 5 + 138 = 666.

47459848335138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43229928052809 + 4229920282329 = 6574947^2 + 2056677^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4871337.

Its product of digits (1393459200) is a multiple of the sum of its prime factors (5600).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 24054661120 + ... + 24054663092.

Almost surely, 247459848335138 is an apocalyptic number.

47459848335138 is an abundant number, since it is smaller than the sum of its proper divisors (55547128083663).

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

47459848335138 is an frugal number, since it uses more digits than its factorization.

47459848335138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 2801 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 47459848335138 in words is "forty-seven trillion, four hundred fifty-nine billion, eight hundred forty-eight million, three hundred thirty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 823 1646 1973 2469 3946 4938 5919 7407 11838 14814 17757 35514 677329 1354658 1623779 2031987 3247558 3892729 4063974 4871337 6095961 7785458 9742674 11678187 12191922 14614011 23356374 29228022 35034561 70069122 1336370117 2672740234 3203715967 4009110351 6407431934 8018220702 9611147901 12027331053 19222295802 24054662106 28833443703 57666887406 2636658240841 5273316481682 7909974722523 15819949445046 23729924167569 47459848335138