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47141565492252 = 22372113194373727
BaseRepresentation
bin10101011100000000000000…
…10000111110110000011100
320011220200121202100010002110
422232000000100332300130
522134331411231223002
6244132311453354020
712633602640121500
oct1256000020766034
9204820552303073
1047141565492252
1114025697819000
125354426a98910
13203c579bc814a
14b8d941c10300
1556b3d87c1e6c
hex2ae00043ec1c

47141565492252 has 576 divisors, whose sum is σ = 151596470108160. Its totient is φ = 11330188087680.

The previous prime is 47141565492163. The next prime is 47141565492253. The reversal of 47141565492252 is 25229456514174.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 47141565492192 and 47141565492201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47141565492253) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 639370213 + ... + 639443939.

It is an arithmetic number, because the mean of its divisors is an integer number (263188316160).

Almost surely, 247141565492252 is an apocalyptic number.

47141565492252 is a gapful number since it is divisible by the number (42) 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 47141565492252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75798235054080).

47141565492252 is an abundant number, since it is smaller than the sum of its proper divisors (104454904615908).

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

47141565492252 is a wasteful number, since it uses less digits than its factorization.

47141565492252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73843 (or 73812 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 57.

The spelling of 47141565492252 in words is "forty-seven trillion, one hundred forty-one billion, five hundred sixty-five million, four hundred ninety-two thousand, two hundred fifty-two".