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47025353041920 = 211325111723314389
BaseRepresentation
bin10101011000100111100010…
…11101101010100000000000
320011111120122201002221222100
422230103301131222200000
522130430410334320140
6244003052101310400
712622320041442111
oct1254236135524000
9204446581087870
1047025353041920
1113a90381931020
1253359b3705400
132031619609236
14b88079918208
155683860c8530
hex2ac4f176a800

47025353041920 has 4608 divisors, whose sum is σ = 209825692876800. Its totient is φ = 9591953817600.

The previous prime is 47025353041879. The next prime is 47025353041939. The reversal of 47025353041920 is 2914035352074.

It is a happy number.

47025353041920 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 53 + 530 + 41 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×470253530419202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 528374753236 + ... + 528374753324.

It is an arithmetic number, because the mean of its divisors is an integer number (45535089600).

Almost surely, 247025353041920 is an apocalyptic number.

47025353041920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47025353041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104912846438400).

47025353041920 is an abundant number, since it is smaller than the sum of its proper divisors (162800339834880).

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

47025353041920 is a wasteful number, since it uses less digits than its factorization.

47025353041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 47025353041920 its reverse (2914035352074), we get a palindrome (49939388393994).

The spelling of 47025353041920 in words is "forty-seven trillion, twenty-five billion, three hundred fifty-three million, forty-one thousand, nine hundred twenty".