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71642946245 = 51331712172857
BaseRepresentation
bin100001010111001000…
…0001001101011000101
320211220220211202102112
41002232100021223011
52133211043234440
652525020550405
75114243665253
oct1025620115305
9224826752375
1071642946245
1128424636992
1211a750b2405
1369a9938cb0
143678cc95d3
151ce4994965
hex10ae409ac5

71642946245 has 32 divisors (see below), whose sum is σ = 92985647328. Its totient is φ = 52676886528.

The previous prime is 71642946227. The next prime is 71642946257. The reversal of 71642946245 is 54264924617.

It is a Cunningham number, because it is equal to 2676622+1.

It can be written as a sum of positive squares in 16 ways, for example, as 45851228641 + 25791717604 = 214129^2 + 160598^2 .

It is a cyclic number.

It is not a de Polignac number, because 71642946245 - 224 = 71626169029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71642946193 and 71642946202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25074857 + ... + 25077713.

It is an arithmetic number, because the mean of its divisors is an integer number (2905801479).

Almost surely, 271642946245 is an apocalyptic number.

It is an amenable number.

71642946245 is a deficient number, since it is larger than the sum of its proper divisors (21342701083).

71642946245 is a wasteful number, since it uses less digits than its factorization.

71642946245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409.

The product of its digits is 2903040, while the sum is 50.

The spelling of 71642946245 in words is "seventy-one billion, six hundred forty-two million, nine hundred forty-six thousand, two hundred forty-five".

Divisors: 1 5 13 65 317 1217 1585 2857 4121 6085 14285 15821 20605 37141 79105 185705 385789 905669 1928945 3476969 4528345 5015257 11773697 17384845 25076285 45200597 58868485 226002985 1102199173 5510995865 14328589249 71642946245