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47251021129 = 1322327272
BaseRepresentation
bin101100000000011000…
…010101110101001001
311111222000010120112121
4230000120111311021
51233232230134004
633412401211241
73261632024044
oct540030256511
9144860116477
1047251021129
1119047a73594
1291a8330b21
1345c0397900
1424035cbc5b
151368387854
hexb00615d49

47251021129 has 27 divisors (see below), whose sum is σ = 53560279143. Its totient is φ = 41662578672.

The previous prime is 47251021123. The next prime is 47251021183. The reversal of 47251021129 is 92112015274.

The square root of 47251021129 is 217373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6989796025 + 40261225104 = 83605^2 + 200652^2 .

It is not a de Polignac number, because 47251021129 - 219 = 47250496841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47251021094 and 47251021103.

It is not an unprimeable number, because it can be changed into a prime (47251021123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64994164 + ... + 64994890.

Almost surely, 247251021129 is an apocalyptic number.

47251021129 is the 217373-rd square number.

47251021129 is the 108687-th centered octagonal number.

It is an amenable number.

47251021129 is a deficient number, since it is larger than the sum of its proper divisors (6309258014).

47251021129 is an frugal number, since it uses more digits than its factorization.

47251021129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 47251021129 in words is "forty-seven billion, two hundred fifty-one million, twenty-one thousand, one hundred twenty-nine".

Divisors: 1 13 23 169 299 529 727 3887 6877 9451 16721 89401 122863 217373 384583 528529 2825849 4999579 6870877 12156167 64994527 89321401 158030171 279591841 2054392223 3634693933 47251021129