Search a number
-
+
6011112996 = 22327613831021
BaseRepresentation
bin1011001100100101…
…00100111000100100
3120111220222011211200
411212102210320210
544302321103441
62432251002500
7301650421530
oct54622447044
916456864750
106011112996
112605131189
1211b9139430
1374a48a0c5
144104a2bc0
15252ad07b6
hex1664a4e24

6011112996 has 144 divisors (see below), whose sum is σ = 17713532928. Its totient is φ = 1683244800.

The previous prime is 6011112983. The next prime is 6011113007. The reversal of 6011112996 is 6992111106.

It is a super-2 number, since 2×60111129962 = 72266958901360192032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6011112996.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886966 + ... + 5887986.

Almost surely, 26011112996 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 6011112996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856766464).

6011112996 is an abundant number, since it is smaller than the sum of its proper divisors (11702419932).

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

6011112996 is a wasteful number, since it uses less digits than its factorization.

6011112996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 6011112996 is about 77531.3678197412. The cubic root of 6011112996 is about 1818.2417705743.

The spelling of 6011112996 in words is "six billion, eleven million, one hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 383 427 549 732 766 854 1021 1098 1149 1281 1532 1708 2042 2196 2298 2562 2681 3063 3447 3843 4084 4596 5124 5362 6126 6894 7147 7686 8043 9189 10724 12252 13788 14294 15372 16086 18378 21441 23363 24129 28588 32172 36756 42882 46726 48258 62281 64323 70089 85764 93452 96516 124562 128646 140178 163541 186843 210267 249124 257292 280356 327082 373686 391043 420534 435967 490623 560529 654164 747372 782086 841068 871934 981246 1121058 1173129 1307901 1471869 1564172 1743868 1962492 2242116 2346258 2615802 2737301 2943738 3519387 3923703 4692516 5231604 5474602 5887476 7038774 7847406 8211903 10949204 14077548 15694812 16423806 23853623 24635709 32847612 47707246 49271418 71560869 95414492 98542836 143121738 166975361 214682607 286243476 333950722 429365214 500926083 667901444 858730428 1001852166 1502778249 2003704332 3005556498 6011112996