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112407526242 = 232111721964411
BaseRepresentation
bin110100010110000000…
…0101011101101100010
3101202010212120222111200
41220230000223231202
53320202311314432
6123350031222030
711056364131254
oct1505400535542
9352125528450
10112407526242
1143743133220
1219951077916
13a7a521c44b
145624c41cd4
152dcd658a7c
hex1a2c02bb62

112407526242 has 72 divisors (see below), whose sum is σ = 282238858512. Its totient is φ = 32059171200.

The previous prime is 112407526199. The next prime is 112407526279. The reversal of 112407526242 is 242625704211.

112407526242 is a `hidden beast` number, since 1 + 1 + 2 + 407 + 5 + 2 + 6 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112407526197 and 112407526206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924984 + ... + 1039427.

It is an arithmetic number, because the mean of its divisors is an integer number (3919984146).

Almost surely, 2112407526242 is an apocalyptic number.

112407526242 is an abundant number, since it is smaller than the sum of its proper divisors (169831332270).

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

112407526242 is a wasteful number, since it uses less digits than its factorization.

112407526242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964464 (or 1964444 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 112407526242 in words is "one hundred twelve billion, four hundred seven million, five hundred twenty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1683 1734 2601 3179 3366 5202 6358 9537 19074 28611 57222 1964411 3928822 5893233 11786466 17679699 21608521 33394987 35359398 43217042 64825563 66789974 100184961 129651126 194476689 200369922 300554883 367344857 388953378 567714779 601109766 734689714 1102034571 1135429558 1703144337 2204069142 3306103713 3406288674 5109433011 6244862569 6612207426 10218866022 12489725138 18734587707 37469175414 56203763121 112407526242