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47234211471225 = 3652509092
BaseRepresentation
bin10101011110101100100100…
…11001010101111101111001
320012020112202102002111000000
422233112102121111331321
522142341131114034400
6244243032554303213
712643362536005452
oct1257262231257571
9205215672074000
1047234211471225
1114060a09a89279
12536a381a27b09
132048222c6b44c
14b942102bc129
1556da0c0b2600
hex2af592655f79

47234211471225 has 63 divisors (see below), whose sum is σ = 87817186562653. Its totient is φ = 25191084615840.

The previous prime is 47234211471191. The next prime is 47234211471253. The reversal of 47234211471225 is 52217411243274.

The square root of 47234211471225 is 6872715.

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

47234211471225 is a `hidden beast` number, since 4 + 7 + 2 + 342 + 1 + 14 + 71 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6336753978681 + 40897457492544 = 2517291^2 + 6395112^2 .

It is not a de Polignac number, because 47234211471225 - 221 = 47234209374073 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 927791071 + ... + 927841979.

Almost surely, 247234211471225 is an apocalyptic number.

47234211471225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47234211471225 is the 6872715-th square number.

47234211471225 is the 3436358-th centered octagonal number.

It is an amenable number.

47234211471225 is a deficient number, since it is larger than the sum of its proper divisors (40582975091428).

47234211471225 is an frugal number, since it uses more digits than its factorization.

47234211471225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101846 (or 50917 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 47234211471225 in words is "forty-seven trillion, two hundred thirty-four billion, two hundred eleven million, four hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 6075 18225 50909 152727 254545 458181 763635 1272725 1374543 2290905 3818175 4123629 6872715 11454525 12370887 20618145 34363575 37112661 61854435 103090725 185563305 309272175 927816525 2591726281 7775178843 12958631405 23325536529 38875894215 64793157025 69976609587 116627682645 194379471075 209929828761 349883047935 583138413225 629789486283 1049649143805 1749415239675 1889368458849 3148947431415 5248245719025 9446842294245 15744737157075 47234211471225