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47831877025 = 52172312832
BaseRepresentation
bin101100100011000000…
…001000010110100001
311120110111010010000221
4230203000020112201
51240424430031100
633550151043041
73312214150342
oct544300102641
9146414103027
1047831877025
1119315936189
12932a970481
13468381c81a
14245a7d00c9
15139e37301a
hexb230085a1

47831877025 has 81 divisors (see below), whose sum is σ = 65897506713. Its totient is φ = 34432915200.

The previous prime is 47831877007. The next prime is 47831877029. The reversal of 47831877025 is 52077813874.

The square root of 47831877025 is 218705.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1118835601 + 46713041424 = 33449^2 + 216132^2 .

It is not a de Polignac number, because 47831877025 - 217 = 47831745953 is a prime.

It is a super-3 number, since 3×478318770253 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47831877029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 576287634 + ... + 576287716.

Almost surely, 247831877025 is an apocalyptic number.

47831877025 is the 218705-th square number.

47831877025 is the 109353-rd centered octagonal number.

It is an amenable number.

47831877025 is a deficient number, since it is larger than the sum of its proper divisors (18065629688).

47831877025 is an equidigital number, since it uses as much as digits as its factorization.

47831877025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 52.

The spelling of 47831877025 in words is "forty-seven billion, eight hundred thirty-one million, eight hundred seventy-seven thousand, twenty-five".

Divisors: 1 5 17 25 31 83 85 155 289 415 425 527 775 961 1411 1445 2075 2573 2635 4805 6889 7055 7225 8959 12865 13175 16337 23987 24025 34445 35275 43741 44795 64325 79763 81685 117113 119935 172225 213559 218705 223975 277729 398815 408425 585565 599675 743597 1067795 1093525 1355971 1388645 1990921 1994075 2927825 3630503 3717985 5338975 6620329 6779855 6943225 9954605 18152515 18589925 23051507 33101645 33899275 49773025 61718551 90762575 112545593 115257535 165508225 308592755 562727965 576287675 1542963775 1913275081 2813639825 9566375405 47831877025