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47253735252 = 22323389387313
BaseRepresentation
bin101100000000100010…
…101100011101010100
311111222012020110121200
4230000202230131110
51233233424012002
633412535312500
73261664056663
oct540042543524
9144865213550
1047253735252
1119049557769
1291a921b730
1345c0b080b9
142403ad6dda
151368721b1c
hexb008ac754

47253735252 has 36 divisors (see below), whose sum is σ = 119482495860. Its totient is φ = 15746556672.

The previous prime is 47253735251. The next prime is 47253735259. The reversal of 47253735252 is 25253735274.

It is a happy number.

47253735252 is a `hidden beast` number, since 4 + 7 + 2 + 53 + 73 + 525 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43926291396 + 3327443856 = 209586^2 + 57684^2 .

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

It is a super-2 number, since 2×472537352522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47253735198 and 47253735207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47253735251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71653 + ... + 315660.

Almost surely, 247253735252 is an apocalyptic number.

It is an amenable number.

47253735252 is an abundant number, since it is smaller than the sum of its proper divisors (72228760608).

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

47253735252 is a wasteful number, since it uses less digits than its factorization.

47253735252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390712 (or 390707 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 45.

It can be divided in two parts, 4725373 and 5252, that added together give a square (4730625 = 21752).

The spelling of 47253735252 in words is "forty-seven billion, two hundred fifty-three million, seven hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3389 6778 10167 13556 20334 30501 40668 61002 122004 387313 774626 1161939 1549252 2323878 3485817 4647756 6971634 13943268 1312603757 2625207514 3937811271 5250415028 7875622542 11813433813 15751245084 23626867626 47253735252