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11628491940 = 223251310348247
BaseRepresentation
bin10101101010001110…
…01011010010100100
31010000102001121002200
422311013023102210
5142303343220230
65201514534500
7561110356602
oct126507132244
933012047080
1011628491940
114a27a8711a
122306437430
1311341ba980
147c4552872
15480d39160
hex2b51cb4a4

11628491940 has 144 divisors (see below), whose sum is σ = 38356002048. Its totient is φ = 2834548992.

The previous prime is 11628491939. The next prime is 11628491947. The reversal of 11628491940 is 4919482611.

It is a happy number.

11628491940 is a `hidden beast` number, since 1 + 1 + 628 + 4 + 9 + 19 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11628491947) 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, 216897 + ... + 265143.

Almost surely, 211628491940 is an apocalyptic number.

11628491940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628491940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178001024).

11628491940 is an abundant number, since it is smaller than the sum of its proper divisors (26727510108).

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

11628491940 is a wasteful number, since it uses less digits than its factorization.

11628491940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48378 (or 48373 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11628491940 in words is "eleven billion, six hundred twenty-eight million, four hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 206 234 260 309 390 412 468 515 585 618 780 927 1030 1170 1236 1339 1545 1854 2060 2340 2678 3090 3708 4017 4635 5356 6180 6695 8034 9270 12051 13390 16068 18540 20085 24102 26780 40170 48204 48247 60255 80340 96494 120510 144741 192988 241020 241235 289482 434223 482470 578964 627211 723705 868446 964940 1254422 1447410 1736892 1881633 2171115 2508844 2894820 3136055 3763266 4342230 4969441 5644899 6272110 7526532 8684460 9408165 9938882 11289798 12544220 14908323 18816330 19877764 22579596 24847205 28224495 29816646 37632660 44724969 49694410 56448990 59633292 64602733 74541615 89449938 99388820 112897980 129205466 149083230 178899876 193808199 223624845 258410932 298166460 323013665 387616398 447249690 581424597 646027330 775232796 894499380 969040995 1162849194 1292054660 1938081990 2325698388 2907122985 3876163980 5814245970 11628491940