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1368008631 = 321161359631
BaseRepresentation
bin101000110001010…
…0010011110110111
310112100011001001100
41101202202132313
510300202234011
6343425101143
745620611233
oct12142423667
93470131040
101368008631
11642229150
123221877b3
1318a55a282
14cd9855c3
1580175d56
hex518a27b7

1368008631 has 48 divisors (see below), whose sum is σ = 2200573440. Its totient is φ = 811944000.

The previous prime is 1368008563. The next prime is 1368008639.

1368008631 is a `hidden beast` number, since 13 + 6 + 8 + 0 + 0 + 8 + 631 = 666.

1368008631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1368008631 - 29 = 1368008119 is a prime.

It is a super-2 number, since 2×13680086312 = 3742895228980988322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368008639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167686 + ... + 2168316.

It is an arithmetic number, because the mean of its divisors is an integer number (45845280).

Almost surely, 21368008631 is an apocalyptic number.

1368008631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1368008631 is a deficient number, since it is larger than the sum of its proper divisors (832564809).

1368008631 is a wasteful number, since it uses less digits than its factorization.

1368008631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1368008631 is about 36986.6006953870. The cubic root of 1368008631 is about 1110.1021551952.

The spelling of 1368008631 in words is "one billion, three hundred sixty-eight million, eight thousand, six hundred thirty-one".

Divisors: 1 3 9 11 33 61 99 183 359 549 631 671 1077 1893 2013 3231 3949 5679 6039 6941 11847 20823 21899 35541 38491 62469 65697 115473 197091 226529 240889 346419 423401 679587 722667 1270203 2038761 2168001 2491819 3810609 7475457 13818269 22426371 41454807 124364421 152000959 456002877 1368008631