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631117436041 = 631212592
BaseRepresentation
bin10010010111100011000…
…01111101010010001001
32020100000122210120221101
421023301201331102021
540320012030423131
61201533100541401
763411451456621
oct11136141752211
92210018716841
10631117436041
11223723380894
12a2393b51861
134768b699661
1422790c89881
151163bb23c61
hex92f187d489

631117436041 has 9 divisors (see below), whose sum is σ = 632621686413. Its totient is φ = 629616759660.

The previous prime is 631117436009. The next prime is 631117436057. The reversal of 631117436041 is 140634711136.

The square root of 631117436041 is 794429.

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

It is not a de Polignac number, because 631117436041 - 25 = 631117436009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (631117431041) 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 8 ways as a sum of consecutive naturals, for example, 501284070 + ... + 501285328.

Almost surely, 2631117436041 is an apocalyptic number.

631117436041 is the 794429-th square number.

631117436041 is the 397215-th centered octagonal number.

It is an amenable number.

631117436041 is a deficient number, since it is larger than the sum of its proper divisors (1504250372).

631117436041 is an frugal number, since it uses more digits than its factorization.

631117436041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 631117436041 in words is "six hundred thirty-one billion, one hundred seventeen million, four hundred thirty-six thousand, forty-one".

Divisors: 1 631 1259 398161 794429 1585081 501284699 1000186111 631117436041