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4712273316 = 22321726732
BaseRepresentation
bin1000110001101111…
…11001010110100100
3110011101222021202100
410120313321112210
534122320221231
62055332212100
7224526443112
oct43067712644
913141867670
104712273316
111aa8a56763
12ab616a030
135a136a30a
14329ba4ab2
151c8a6e1e6
hex118df95a4

4712273316 has 81 divisors (see below), whose sum is σ = 12672307011. Its totient is φ = 1476163584.

The previous prime is 4712273303. The next prime is 4712273323. The reversal of 4712273316 is 6133722174.

The square root of 4712273316 is 68646.

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

4712273316 is a `hidden beast` number, since 4 + 71 + 2 + 273 + 316 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66487716 + 4645785600 = 8154^2 + 68160^2 .

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

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7001556 + ... + 7002228.

Almost surely, 24712273316 is an apocalyptic number.

4712273316 is the 68646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4712273316

4712273316 is an abundant number, since it is smaller than the sum of its proper divisors (7960033695).

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

4712273316 is a wasteful number, since it uses less digits than its factorization.

4712273316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The cubic root of 4712273316 is about 1676.5254763653.

Multiplying 4712273316 by its sum of digits (36), we get a square (169641839376 = 4118762).

4712273316 divided by its sum of digits (36) gives a square (130896481 = 114412).

The spelling of 4712273316 in words is "four billion, seven hundred twelve million, two hundred seventy-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 673 867 1156 1346 1734 2019 2601 2692 3468 4038 5202 6057 8076 10404 11441 12114 22882 24228 34323 45764 68646 102969 137292 194497 205938 388994 411876 452929 583491 777988 905858 1166982 1358787 1750473 1811716 2333964 2717574 3500946 4076361 5435148 7001892 7699793 8152722 15399586 16305444 23099379 30799172 46198758 69298137 92397516 130896481 138596274 261792962 277192548 392689443 523585924 785378886 1178068329 1570757772 2356136658 4712273316