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4320169984 = 212132792
BaseRepresentation
bin1000000011000000…
…01001000000000000
3102011002011101002201
410001200021000000
532321430414414
61552404122544
7212025560524
oct40140110000
912132141081
104320169984
111917694719
12a06996454
1353b062100
142cda97d84
151a441a574
hex101809000

4320169984 has 117 divisors (see below), whose sum is σ = 9474881913. Its totient is φ = 1968685056.

The previous prime is 4320169949. The next prime is 4320170051. The reversal of 4320169984 is 4899610234.

The square root of 4320169984 is 65728.

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

It can be written as a sum of positive squares in only one way, i.e., 639078400 + 3681091584 = 25280^2 + 60672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54685657 + ... + 54685735.

Almost surely, 24320169984 is an apocalyptic number.

4320169984 is the 65728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4320169984

4320169984 is an abundant number, since it is smaller than the sum of its proper divisors (5154711929).

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

4320169984 is an frugal number, since it uses more digits than its factorization.

4320169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The cubic root of 4320169984 is about 1628.6719311381.

The spelling of 4320169984 in words is "four billion, three hundred twenty million, one hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 169 208 256 316 338 416 512 632 676 832 1024 1027 1264 1352 1664 2048 2054 2528 2704 3328 4096 4108 5056 5408 6241 6656 8216 10112 10816 12482 13312 13351 16432 20224 21632 24964 26624 26702 32864 40448 43264 49928 53248 53404 65728 80896 81133 86528 99856 106808 131456 161792 162266 173056 199712 213616 262912 323584 324532 346112 399424 427232 525824 649064 692224 798848 854464 1051648 1054729 1298128 1597696 1708928 2103296 2109458 2596256 3195392 3417856 4206592 4218916 5192512 6390784 6835712 8437832 10385024 12781568 13671424 16875664 20770048 25563136 27342848 33751328 41540096 54685696 67502656 83080192 135005312 166160384 270010624 332320768 540021248 1080042496 2160084992 4320169984