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47802137769 = 3417214292
BaseRepresentation
bin101100100001001110…
…101011110010101001
311120101102011012110000
4230201032223302221
51240344321402034
633543205413213
73311403316101
oct544116536251
9146342135400
1047802137769
1119300073691
129320a0a209
13467a609429
14245688c201
15139b94b599
hexb213abca9

47802137769 has 45 divisors (see below), whose sum is σ = 75908817237. Its totient is φ = 29972509056.

The previous prime is 47802137749. The next prime is 47802137777. The reversal of 47802137769 is 96773120874.

The square root of 47802137769 is 218637.

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

47802137769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2428025625 + 45374112144 = 49275^2 + 213012^2 .

It is not a de Polignac number, because 47802137769 - 217 = 47802006697 is a prime.

It is a super-2 number, since 2×478021377692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47802137749) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33450747 + ... + 33452175.

Almost surely, 247802137769 is an apocalyptic number.

47802137769 is the 218637-th square number.

47802137769 is the 109319-th centered octagonal number.

It is an amenable number.

47802137769 is a deficient number, since it is larger than the sum of its proper divisors (28106679468).

47802137769 is an frugal number, since it uses more digits than its factorization.

47802137769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 47802137769 in words is "forty-seven billion, eight hundred two million, one hundred thirty-seven thousand, seven hundred sixty-nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 1429 2601 4287 7803 12861 23409 24293 38583 72879 115749 218637 412981 655911 1238943 1967733 2042041 3716829 6126123 11150487 18378369 33451461 34714697 55135107 104144091 165405321 312432273 590149849 937296819 1770449547 2811890457 5311348641 15934045923 47802137769