Search a number
-
+
11284729680 = 243576717101
BaseRepresentation
bin10101000001001111…
…10100111101010000
31002010110012122221010
422200213310331100
5141102342322210
65103434530520
7546434422350
oct124047647520
932113178833
1011284729680
114870a32484
12222b296a40
1310aac09a53
14790a2ab60
15460a83920
hex2a09f4f50

11284729680 has 80 divisors (see below), whose sum is σ = 39980191104. Its totient is φ = 2579366400.

The previous prime is 11284729649. The next prime is 11284729711. The reversal of 11284729680 is 8692748211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11284729649) and next prime (11284729711).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3356871 + ... + 3360230.

Almost surely, 211284729680 is an apocalyptic number.

11284729680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11284729680 is an abundant number, since it is smaller than the sum of its proper divisors (28695461424).

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

11284729680 is a wasteful number, since it uses less digits than its factorization.

11284729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717124 (or 6717118 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11284729680 in words is "eleven billion, two hundred eighty-four million, seven hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6717101 13434202 20151303 26868404 33585505 40302606 47019707 53736808 67171010 80605212 94039414 100756515 107473616 134342020 141059121 161210424 188078828 201513030 235098535 268684040 282118242 322420848 376157656 403026060 470197070 537368080 564236484 705295605 752315312 806052120 940394140 1128472968 1410591210 1612104240 1880788280 2256945936 2821182420 3761576560 5642364840 11284729680