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4423661352 = 23321110335407
BaseRepresentation
bin1000001111010101…
…11011011100101000
3102102021220021120100
410013222323130220
533024424130402
62010542225400
7214423333605
oct40752733450
912367807510
104423661352
111970050280
12a35585260
13556628ac6
142dd7176ac
151ad55e71c
hex107abb728

4423661352 has 96 divisors (see below), whose sum is σ = 13084980480. Its totient is φ = 1338958080.

The previous prime is 4423661329. The next prime is 4423661353. The reversal of 4423661352 is 2531663244.

4423661352 is a `hidden beast` number, since 4 + 4 + 2 + 36 + 613 + 5 + 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 (4423661353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 815433 + ... + 820839.

It is an arithmetic number, because the mean of its divisors is an integer number (136301880).

Almost surely, 24423661352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4423661352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542490240).

4423661352 is an abundant number, since it is smaller than the sum of its proper divisors (8661319128).

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

4423661352 is a wasteful number, since it uses less digits than its factorization.

4423661352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6456 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 4423661352 is about 66510.6108226349. The cubic root of 4423661352 is about 1641.5746021201.

The spelling of 4423661352 in words is "four billion, four hundred twenty-three million, six hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1033 2066 3099 4132 5407 6198 8264 9297 10814 11363 12396 16221 18594 21628 22726 24792 32442 34089 37188 43256 45452 48663 59477 64884 68178 74376 90904 97326 102267 118954 129768 136356 178431 194652 204534 237908 272712 356862 389304 409068 475816 535293 713724 818136 1070586 1427448 2141172 4282344 5585431 11170862 16756293 22341724 33512586 44683448 50268879 61439741 67025172 100537758 122879482 134050344 184319223 201075516 245758964 368638446 402151032 491517928 552957669 737276892 1105915338 1474553784 2211830676 4423661352