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1131385862664 = 233261257601517
BaseRepresentation
bin10000011101101011110…
…110100011101000001000
311000011022020002210021200
4100131223312203220020
5122014034240101124
62223430153304200
7144511540105221
oct20355366435010
94004266083250
101131385862664
113a68aa908172
1216332aa05060
13828c630c045
143ca8b9c4248
151e66b0cabc9
hex1076bda3a08

1131385862664 has 48 divisors (see below), whose sum is σ = 3114402352620. Its totient is φ = 370946183040.

The previous prime is 1131385862609. The next prime is 1131385862791. The reversal of 1131385862664 is 4662685831311.

It is a happy number.

1131385862664 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 8 + 5 + 8 + 626 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1033129944900 + 98255917764 = 1016430^2 + 313458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1131385862664.

It is an unprimeable number.

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, 128796367 + ... + 128805150.

Almost surely, 21131385862664 is an apocalyptic number.

It is an amenable number.

1131385862664 is an abundant number, since it is smaller than the sum of its proper divisors (1983016489956).

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

1131385862664 is a wasteful number, since it uses less digits than its factorization.

1131385862664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257601590 (or 257601583 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1131385862664 in words is "one trillion, one hundred thirty-one billion, three hundred eighty-five million, eight hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 257601517 515203034 772804551 1030406068 1545609102 2060812136 2318413653 3091218204 4636827306 6182436408 9273654612 15713692537 18547309224 31427385074 47141077611 62854770148 94282155222 125709540296 141423232833 188564310444 282846465666 377128620888 565692931332 1131385862664