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31553445505 = 523229411361
BaseRepresentation
bin11101011000101110…
…110101111010000001
310000110000101002222211
4131120232311322001
51004110140224010
622255003502121
72164631601331
oct353056657201
9100400332884
1031553445505
111242210869a
126147227941
132c8b17ab1a
1417548a10c1
15c4a1ce08a
hex758bb5e81

31553445505 has 24 divisors (see below), whose sum is σ = 40946973480. Its totient is φ = 23312593920.

The previous prime is 31553445491. The next prime is 31553445509. The reversal of 31553445505 is 50554435513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7257676864 + 24295768641 = 85192^2 + 155871^2 .

It is not a de Polignac number, because 31553445505 - 211 = 31553443457 is a prime.

It is a super-3 number, since 3×315534455053 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31553445509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128976 + ... + 282385.

It is an arithmetic number, because the mean of its divisors is an integer number (1706123895).

Almost surely, 231553445505 is an apocalyptic number.

It is an amenable number.

31553445505 is a deficient number, since it is larger than the sum of its proper divisors (9393527975).

31553445505 is a wasteful number, since it uses less digits than its factorization.

31553445505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411441 (or 411418 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 31553445505 in words is "thirty-one billion, five hundred fifty-three million, four hundred forty-five thousand, five hundred five".

Divisors: 1 5 23 29 115 145 529 667 2645 3335 15341 76705 411361 2056805 9461303 11929469 47306515 59647345 217609969 274377787 1088049845 1371888935 6310689101 31553445505