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112425682752 = 2634171275709
BaseRepresentation
bin110100010110100010…
…1111100011101000000
3101202012010202102120000
41220231011330131000
53320221433322002
6123351520320000
711060004351555
oct1505505743500
9352163672500
10112425682752
11437524044a9
1219957173000
13a7a8c08746
14562740aa2c
152dd004361c
hex1a2d17c740

112425682752 has 140 divisors (see below), whose sum is σ = 352869040260. Its totient is φ = 35270774784.

The previous prime is 112425682739. The next prime is 112425682753. The reversal of 112425682752 is 257286524211.

112425682752 is a `hidden beast` number, since 1 + 12 + 4 + 2 + 568 + 2 + 75 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58073288256 + 54352394496 = 240984^2 + 233136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112425682698 and 112425682707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112425682753) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 549727 + ... + 725982.

Almost surely, 2112425682752 is an apocalyptic number.

112425682752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112425682752 is an abundant number, since it is smaller than the sum of its proper divisors (240443357508).

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

112425682752 is a wasteful number, since it uses less digits than its factorization.

112425682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275750 (or 1275731 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 112425682752 in words is "one hundred twelve billion, four hundred twenty-five million, six hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 1275709 2551418 3827127 5102836 7654254 10205672 11481381 15308508 20411344 21687053 22962762 30617016 34444143 40822688 43374106 45925524 61234032 65061159 68888286 81645376 86748212 91851048 103332429 122468064 130122318 137776572 173496424 183702096 195183477 206664858 244936128 260244636 275553144 346992848 367404192 390366954 413329716 520489272 551106288 585550431 693985696 734808384 780733908 826659432 1040978544 1102212576 1171100862 1387971392 1561467816 1653318864 1756651293 2081957088 2204425152 2342201724 3122935632 3306637728 3513302586 4163914176 4684403448 6245871264 6613275456 7026605172 9368806896 12491742528 14053210344 18737613792 28106420688 37475227584 56212841376 112425682752