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112527041264 = 24111935395327
BaseRepresentation
bin110100011001100100…
…0100110001011110000
3101202110012110222021222
41220303020212023300
53320423410310024
6123405541004212
711062345032461
oct1506310461360
9352405428258
10112527041264
11437a4643670
12199850b3668
13a7c3c066b1
145636a72d68
152dd8db585e
hex1a332262f0

112527041264 has 80 divisors (see below), whose sum is σ = 251071073280. Its totient is φ = 48318842880.

The previous prime is 112527041251. The next prime is 112527041317. The reversal of 112527041264 is 462140725211.

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, 1132769 + ... + 1228095.

It is an arithmetic number, because the mean of its divisors is an integer number (3138388416).

Almost surely, 2112527041264 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 112527041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125535536640).

112527041264 is an abundant number, since it is smaller than the sum of its proper divisors (138544032016).

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

112527041264 is a wasteful number, since it uses less digits than its factorization.

112527041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95718 (or 95712 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 112527041264 its reverse (462140725211), we get a palindrome (574667766475).

The spelling of 112527041264 in words is "one hundred twelve billion, five hundred twenty-seven million, forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 353 418 706 836 1412 1672 2824 3344 3883 5648 6707 7766 13414 15532 26828 31064 53656 62128 73777 95327 107312 147554 190654 295108 381308 590216 762616 1048597 1180432 1525232 1811213 2097194 3622426 4194388 7244852 8388776 14489704 16777552 19923343 28979408 33650431 39846686 67300862 79693372 134601724 159386744 269203448 318773488 370154741 538406896 639358189 740309482 1278716378 1480618964 2557432756 2961237928 5114865512 5922475856 7032940079 10229731024 14065880158 28131760316 56263520632 112527041264