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4485972672 = 26336738747
BaseRepresentation
bin1000010110110001…
…01000001011000000
3102120122011000122000
410023120220023000
533141402111142
62021045544000
7216111065346
oct41330501300
912518130560
104485972672
1119a223a735
12a52415000
13566504acc
14307ad7996
151b3c6c14c
hex10b6282c0

4485972672 has 112 divisors (see below), whose sum is σ = 13385109120. Its totient is φ = 1472967936.

The previous prime is 4485972641. The next prime is 4485972719. The reversal of 4485972672 is 2762795844.

4485972672 is a `hidden beast` number, since 4 + 48 + 597 + 2 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96403 + ... + 135149.

Almost surely, 24485972672 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 4485972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692554560).

4485972672 is an abundant number, since it is smaller than the sum of its proper divisors (8899136448).

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

4485972672 is a wasteful number, since it uses less digits than its factorization.

4485972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38835 (or 38819 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 4485972672 is about 66977.4041897713. The cubic root of 4485972672 is about 1649.2463864288.

The spelling of 4485972672 in words is "four billion, four hundred eighty-five million, nine hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 536 576 603 804 864 1072 1206 1608 1728 1809 2144 2412 3216 3618 4288 4824 6432 7236 9648 12864 14472 19296 28944 38592 38747 57888 77494 115776 116241 154988 232482 309976 348723 464964 619952 697446 929928 1046169 1239904 1394892 1859856 2092338 2479808 2596049 2789784 3719712 4184676 5192098 5579568 7439424 7788147 8369352 10384196 11159136 15576294 16738704 20768392 22318272 23364441 31152588 33477408 41536784 46728882 62305176 66954816 70093323 83073568 93457764 124610352 140186646 166147136 186915528 249220704 280373292 373831056 498441408 560746584 747662112 1121493168 1495324224 2242986336 4485972672