Search a number
-
+
11192958216 = 23331119247939
BaseRepresentation
bin10100110110010011…
…01111110100001000
31001220001112012011000
422123021233310020
5140410344130331
65050355535000
7544241401146
oct123311576410
931801465130
1011192958216
1148241511a0
1222045ba460
131094bb76cb
1478277c596
154579a70e6
hex29b26fd08

11192958216 has 128 divisors (see below), whose sum is σ = 35703360000. Its totient is φ = 3213276480.

The previous prime is 11192958193. The next prime is 11192958281. The reversal of 11192958216 is 61285929111.

11192958216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78826 + ... + 169113.

It is an arithmetic number, because the mean of its divisors is an integer number (278932500).

Almost surely, 211192958216 is an apocalyptic number.

It is an amenable number.

11192958216 is an abundant number, since it is smaller than the sum of its proper divisors (24510401784).

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

11192958216 is a wasteful number, since it uses less digits than its factorization.

11192958216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247984 (or 247974 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 11192958216 in words is "eleven billion, one hundred ninety-two million, nine hundred fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22572 45144 247939 495878 743817 991756 1487634 1983512 2231451 2727329 2975268 4462902 4710841 5454658 5950536 6694353 8181987 8925804 9421682 10909316 13388706 14132523 16363974 17851608 18843364 21818632 24545961 26777412 28265046 32727948 37686728 42397569 49091922 51819251 53554824 56530092 65455896 73637883 84795138 98183844 103638502 113060184 127192707 147275766 155457753 169590276 196367688 207277004 254385414 294551532 310915506 339180552 414554008 466373259 508770828 589103064 621831012 932746518 1017541656 1243662024 1399119777 1865493036 2798239554 3730986072 5596479108 11192958216