Search a number
-
+
112524545136 = 243103157144967
BaseRepresentation
bin110100011001011111…
…1000100110001110000
3101202110000210011020210
41220302333010301300
53320422240421021
6123405411304120
711062314565233
oct1506277046160
9352400704223
10112524545136
11437a3199253
12199842ab040
13a7c35414b3
1456365c341a
152dd8a70e76
hex1a32fc4c70

112524545136 has 80 divisors (see below), whose sum is σ = 295382157824. Its totient is φ = 36907183872.

The previous prime is 112524545117. The next prime is 112524545137. The reversal of 112524545136 is 631545425211.

It is a junction number, because it is equal to n+sod(n) for n = 112524545094 and 112524545103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112524545137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703725 + ... + 848691.

Almost surely, 2112524545136 is an apocalyptic number.

112524545136 is a gapful number since it is divisible by the number (16) 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 112524545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147691078912).

112524545136 is an abundant number, since it is smaller than the sum of its proper divisors (182857612688).

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

112524545136 is a wasteful number, since it uses less digits than its factorization.

112524545136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145238 (or 145232 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The spelling of 112524545136 in words is "one hundred twelve billion, five hundred twenty-four million, five hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 157 206 309 314 412 471 618 628 824 942 1236 1256 1648 1884 2472 2512 3768 4944 7536 16171 32342 48513 64684 97026 129368 144967 194052 258736 289934 388104 434901 579868 776208 869802 1159736 1739604 2319472 3479208 6958416 14931601 22759819 29863202 44794803 45519638 59726404 68279457 89589606 91039276 119452808 136558914 179179212 182078552 238905616 273117828 358358424 364157104 546235656 716716848 1092471312 2344261357 4688522714 7032784071 9377045428 14065568142 18754090856 28131136284 37508181712 56262272568 112524545136