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112175425476 = 22342328092
BaseRepresentation
bin110100001111000101…
…1010010011111000100
3101201112200212001010000
41220132023102133010
53314213402103401
6123311020401300
711050545245532
oct1503613223704
9351480761100
10112175425476
1143634115504
12198a73a6230
13a769105c0a
1456020a5152
152db80ad186
hex1a1e2d27c4

112175425476 has 135 divisors (see below), whose sum is σ = 306932406781. Its totient is φ = 35721867456.

The previous prime is 112175425447. The next prime is 112175425487. The reversal of 112175425476 is 674524571211.

The square root of 112175425476 is 334926.

It is a perfect power (a square), and thus also a powerful number.

112175425476 is a `hidden beast` number, since 1 + 1 + 2 + 175 + 4 + 2 + 5 + 476 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98737979076 + 13437446400 = 314226^2 + 115920^2 .

It is a Duffinian number.

Its product of digits (470400) is a multiple of the sum of its prime factors (1680).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 138658960 + ... + 138659768.

Almost surely, 2112175425476 is an apocalyptic number.

112175425476 is the 334926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112175425476

112175425476 is an abundant number, since it is smaller than the sum of its proper divisors (194756981305).

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

112175425476 is an frugal number, since it uses more digits than its factorization.

112175425476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 837 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

Adding to 112175425476 its reverse (674524571211), we get a palindrome (786699996687).

The spelling of 112175425476 in words is "one hundred twelve billion, one hundred seventy-five million, four hundred twenty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 809 828 1058 1242 1587 1618 1863 2116 2427 2484 3174 3236 3726 4761 4854 6348 7281 7452 9522 9708 14283 14562 18607 19044 21843 28566 29124 37214 42849 43686 55821 57132 65529 74428 85698 87372 111642 131058 167463 171396 223284 262116 334926 427961 502389 654481 669852 855922 1004778 1283883 1308962 1507167 1711844 1963443 2009556 2567766 2617924 3014334 3851649 3926886 5135532 5890329 6028668 7703298 7853772 11554947 11780658 15053063 15406596 17670987 23109894 23561316 30106126 34664841 35341974 45159189 46219788 53012961 60212252 69329682 70683948 90318378 106025922 135477567 138659364 180636756 212051844 270955134 346220449 406432701 541910268 692440898 812865402 1038661347 1219298103 1384881796 1625730804 2077322694 2438596206 3115984041 4154645388 4877192412 6231968082 9347952123 12463936164 18695904246 28043856369 37391808492 56087712738 112175425476