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629143867681 = 72106397120677
BaseRepresentation
bin10010010011110111110…
…01011001000100100001
32020010221010011221002221
421021323321121010201
540301441312231211
61201005200311041
763311525432200
oct11117371310441
92203833157087
10629143867681
1122290034775a
12a1b23012481
1347435848024
1422644b11237
1511573732c71
hex927be59121

629143867681 has 12 divisors (see below), whose sum is σ = 731874177108. Its totient is φ = 539256635232.

The previous prime is 629143867661. The next prime is 629143867687. The reversal of 629143867681 is 186768341926.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 619660224225 + 9483643456 = 787185^2 + 97384^2 .

It is not a de Polignac number, because 629143867681 - 227 = 629009649953 is a prime.

It is a super-2 number, since 2×6291438676812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (629143867687) 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 11 ways as a sum of consecutive naturals, for example, 5153115 + ... + 5273791.

It is an arithmetic number, because the mean of its divisors is an integer number (60989514759).

Almost surely, 2629143867681 is an apocalyptic number.

It is an amenable number.

629143867681 is a deficient number, since it is larger than the sum of its proper divisors (102730309427).

629143867681 is a wasteful number, since it uses less digits than its factorization.

629143867681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227088 (or 227081 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

The spelling of 629143867681 in words is "six hundred twenty-nine billion, one hundred forty-three million, eight hundred sixty-seven thousand, six hundred eighty-one".

Divisors: 1 7 49 106397 120677 744779 844739 5213453 5913173 12839670769 89877695383 629143867681