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4134776112 = 243343222587
BaseRepresentation
bin1111011001110011…
…1010110100110000
3101200011022101112000
43312130322310300
531432000313422
61522142334000
7204315005565
oct36634726460
911604271460
104134776112
111831a78545
1297488a300
1350b8200ac
142b31d886c
15192ee8cac
hexf673ad30

4134776112 has 80 divisors (see below), whose sum is σ = 12144401280. Its totient is φ = 1346200128.

The previous prime is 4134776101. The next prime is 4134776117. The reversal of 4134776112 is 2116774314.

4134776112 is a `hidden beast` number, since 4 + 1 + 34 + 7 + 7 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4134776117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92718 + ... + 129869.

It is an arithmetic number, because the mean of its divisors is an integer number (151805016).

Almost surely, 24134776112 is an apocalyptic number.

It is an amenable number.

4134776112 is an abundant number, since it is smaller than the sum of its proper divisors (8009625168).

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

4134776112 is a wasteful number, since it uses less digits than its factorization.

4134776112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222647 (or 222635 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 4134776112 is about 64302.2247826621. The cubic root of 4134776112 is about 1605.0331236067.

The spelling of 4134776112 in words is "four billion, one hundred thirty-four million, seven hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 222587 445174 667761 890348 1335522 1780696 2003283 2671044 3561392 4006566 5342088 6009849 8013132 9571241 10684176 12019698 16026264 19142482 24039396 28713723 32052528 38284964 48078792 57427446 76569928 86141169 96157584 114854892 153139856 172282338 229709784 258423507 344564676 459419568 516847014 689129352 1033694028 1378258704 2067388056 4134776112