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1218056742 = 23279799661
BaseRepresentation
bin100100010011010…
…0001001000100110
310010212222200201200
41020212201020212
54443310303432
6320511103330
742120211560
oct11046411046
93125880650
101218056742
1157561a071
1229bb11b46
13165477246
14b7ab0330
1571e05a7c
hex489a1226

1218056742 has 48 divisors (see below), whose sum is σ = 3047265312. Its totient is φ = 344424960.

The previous prime is 1218056737. The next prime is 1218056771. The reversal of 1218056742 is 2476508121.

1218056742 is a `hidden beast` number, since 12 + 1 + 80 + 567 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1218056697 and 1218056706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37609 + ... + 62052.

It is an arithmetic number, because the mean of its divisors is an integer number (63484694).

Almost surely, 21218056742 is an apocalyptic number.

1218056742 is an abundant number, since it is smaller than the sum of its proper divisors (1829208570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1218056742 is a wasteful number, since it uses less digits than its factorization.

1218056742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99773 (or 99770 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1218056742 is about 34900.6696497359. The cubic root of 1218056742 is about 1067.9620983477.

The spelling of 1218056742 in words is "one billion, two hundred eighteen million, fifty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222 99661 199322 298983 597966 697627 896949 1395254 1793898 2092881 4185762 6278643 9667117 12557286 19334234 29001351 58002702 67669819 87004053 135339638 174008106 203009457 406018914 609028371 1218056742