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4330664352 = 2535779561
BaseRepresentation
bin1000000100010000…
…01011000110100000
3102011210220112200000
410002020023012200
532332122224402
61553421100000
7212214016410
oct40210130640
912153815600
104330664352
111922602253
12a0a3b7600
135402979b1
142d122a640
151a52dec1c
hex10220b1a0

4330664352 has 144 divisors (see below), whose sum is σ = 14596126272. Its totient is φ = 1237317120.

The previous prime is 4330664347. The next prime is 4330664389. The reversal of 4330664352 is 2534660334.

4330664352 is a `hidden beast` number, since 4 + 3 + 3 + 0 + 6 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14652 + ... + 94212.

It is an arithmetic number, because the mean of its divisors is an integer number (101361988).

Almost surely, 24330664352 is an apocalyptic number.

4330664352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298063136).

4330664352 is an abundant number, since it is smaller than the sum of its proper divisors (10265461920).

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

4330664352 is an equidigital number, since it uses as much as digits as its factorization.

4330664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79593 (or 79573 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 4330664352 is about 65807.7833694465. The cubic root of 4330664352 is about 1629.9896309577.

The spelling of 4330664352 in words is "four billion, three hundred thirty million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 79561 159122 238683 318244 477366 556927 636488 716049 954732 1113854 1272976 1432098 1670781 1909464 2148147 2227708 2545952 2864196 3341562 3818928 4296294 4455416 5012343 5728392 6444441 6683124 7637856 8592588 8910832 10024686 11456784 12888882 13366248 15037029 17185176 17821664 19333323 20049372 22913568 25777764 26732496 30074058 34370352 38666646 40098744 45111087 51555528 53464992 60148116 68740704 77333292 80197488 90222174 103111056 120296232 135333261 154666584 160394976 180444348 206222112 240592464 270666522 309333168 360888696 481184928 541333044 618666336 721777392 1082666088 1443554784 2165332176 4330664352