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47485473444234 = 23271733943552481
BaseRepresentation
bin10101100110000000100101…
…10001101101000110001010
320020010120022021211012122100
422303000102301231012022
522211000222200203414
6244554305250334230
713000466204356020
oct1263002261550612
9206116267735570
1047485473444234
11141485268a7521
1253ab004b8a376
132065b2660c817
14ba2448552710
15575315aa9609
hex2b3012c6d18a

47485473444234 has 96 divisors (see below), whose sum is σ = 118292955266304. Its totient is φ = 13485409182720.

The previous prime is 47485473444217. The next prime is 47485473444239. The reversal of 47485473444234 is 43244437458474.

47485473444234 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 54 + 7 + 344 + 4 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (47485473444239) 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 47 ways as a sum of consecutive naturals, for example, 85673274 + ... + 86225754.

It is an arithmetic number, because the mean of its divisors is an integer number (1232218284024).

Almost surely, 247485473444234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47485473444234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59146477633152).

47485473444234 is an abundant number, since it is smaller than the sum of its proper divisors (70807481822070).

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

47485473444234 is a wasteful number, since it uses less digits than its factorization.

47485473444234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556612 (or 556609 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 63.

The spelling of 47485473444234 in words is "forty-seven trillion, four hundred eighty-five billion, four hundred seventy-three million, four hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 2422 3114 3633 3943 7266 7886 10899 11829 21798 23658 27601 35487 55202 70974 82803 165606 248409 496818 552481 682139 1104962 1364278 1657443 2046417 3314886 3867367 4092834 4774973 4972329 6139251 7734734 9549946 9944658 11602101 12278502 14324919 23204202 28649838 34806303 42974757 69612606 85949514 95579213 191158426 286737639 573475278 669054491 860212917 1338108982 1720425834 2007163473 2178432583 4014326946 4356865166 6021490419 6535297749 12042980838 13070595498 15249028081 19605893247 30498056162 39211786494 45747084243 91494168486 137241252729 274482505458 376868836859 753737673718 1130606510577 2261213021154 2638081858013 3391819531731 5276163716026 6783639063462 7914245574039 15828491148078 23742736722117 47485473444234