Search a number
-
+
1129654849464 = 2332412087183361
BaseRepresentation
bin10000011100000100101…
…011010000111110111000
310222222211120220012120200
4100130010223100332320
5122002013120140324
62222542315522200
7144420620534421
oct20340453207670
93888746805520
101129654849464
113a60a1792349
12162b27159360
13826ab7c458b
143c965b48648
151e5b914cec9
hex10704ad0fb8

1129654849464 has 96 divisors (see below), whose sum is σ = 3135622220640. Its totient is φ = 367189401600.

The previous prime is 1129654849357. The next prime is 1129654849469. The reversal of 1129654849464 is 4649484569211.

1129654849464 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 5 + 484 + 94 + 64 = 666.

It is a super-2 number, since 2×11296548494642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129654849469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6069144 + ... + 6252504.

It is an arithmetic number, because the mean of its divisors is an integer number (32662731465).

Almost surely, 21129654849464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129654849464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567811110320).

1129654849464 is an abundant number, since it is smaller than the sum of its proper divisors (2005967371176).

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

1129654849464 is a wasteful number, since it uses less digits than its factorization.

1129654849464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185501 (or 185494 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1129654849464 in words is "one trillion, one hundred twenty-nine billion, six hundred fifty-four million, eight hundred forty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2087 2952 4174 6261 8348 12522 16696 18783 25044 37566 50088 75132 85567 150264 171134 183361 256701 342268 366722 513402 550083 684536 733444 770103 1026804 1100166 1466888 1540206 1650249 2053608 2200332 3080412 3300498 4400664 6160824 6600996 7517801 13201992 15035602 22553403 30071204 45106806 60142408 67660209 90213612 135320418 180427224 270640836 382674407 541281672 765348814 1148023221 1530697628 2296046442 3061395256 3444069663 4592092884 6888139326 9184185768 13776278652 15689650687 27552557304 31379301374 47068952061 62758602748 94137904122 125517205496 141206856183 188275808244 282413712366 376551616488 564827424732 1129654849464