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112724937486 = 232731131220301
BaseRepresentation
bin110100011111011101…
…1100000101100001110
3101202221222212010212200
41220332323200230032
53321330040444421
6123441330342330
711100300105420
oct1507673405416
9352858763780
10112724937486
1143896319a67
1219a1b42a9a6
13a825c05255
145655068810
152deb456726
hex1a3eee0b0e

112724937486 has 96 divisors (see below), whose sum is σ = 290333362176. Its totient is φ = 30930120000.

The previous prime is 112724937469. The next prime is 112724937487. The reversal of 112724937486 is 684739427211.

112724937486 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 2 + 493 + 74 + 86 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112724937487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401536 + ... + 621836.

It is an arithmetic number, because the mean of its divisors is an integer number (3024305856).

Almost surely, 2112724937486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112724937486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145166681088).

112724937486 is an abundant number, since it is smaller than the sum of its proper divisors (177608424690).

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

112724937486 is a wasteful number, since it uses less digits than its factorization.

112724937486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220478 (or 220475 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 112724937486 in words is "one hundred twelve billion, seven hundred twenty-four million, nine hundred thirty-seven thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 131 186 217 262 279 393 434 558 651 786 917 1179 1302 1834 1953 2358 2751 3906 4061 5502 8122 8253 12183 16506 24366 28427 36549 56854 73098 85281 170562 220301 255843 440602 511686 660903 1321806 1542107 1982709 3084214 3965418 4626321 6829331 9252642 13658662 13878963 20487993 27757926 28859431 40975986 47805317 57718862 61463979 86578293 95610634 122927958 143415951 173156586 202016017 259734879 286831902 404032034 430247853 519469758 606048051 860495706 894642361 1212096102 1789284722 1818144153 2683927083 3636288306 5367854166 6262496527 8051781249 12524993054 16103562498 18787489581 37574979162 56362468743 112724937486