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3072069463824 = 2436162292
BaseRepresentation
bin101100101101000101100…
…110111110111100010000
3101212200112210200101000000
4230231011212332330100
5400313044240320244
610311142250130000
7434643513410004
oct54550546767420
911780483611000
103072069463824
11a8494813a629
12417479a20900
1319390593335a
14a89906ca704
1554da1889169
hex2cb459bef10

3072069463824 has 105 divisors (see below), whose sum is σ = 8924669403493. Its totient is φ = 1023960056256.

The previous prime is 3072069463741. The next prime is 3072069463847. The reversal of 3072069463824 is 4283649602703.

The square root of 3072069463824 is 1752732.

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

3072069463824 is a `hidden beast` number, since 30 + 72 + 0 + 6 + 9 + 463 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2996818001424 + 75251462400 = 1731132^2 + 274320^2 .

It is a super-2 number, since 2×30720694638242 (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 189286942 + ... + 189303170.

Almost surely, 23072069463824 is an apocalyptic number.

3072069463824 is the 1752732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3072069463824

3072069463824 is an abundant number, since it is smaller than the sum of its proper divisors (5852599939669).

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

3072069463824 is an frugal number, since it uses more digits than its factorization.

3072069463824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32484 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3072069463824 in words is "three trillion, seventy-two billion, sixty-nine million, four hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 16229 32458 48687 64916 97374 129832 146061 194748 259664 292122 389496 438183 584244 778992 876366 1168488 1314549 1752732 2336976 2629098 3505464 3943647 5258196 7010928 7887294 10516392 11830941 15774588 21032784 23661882 31549176 47323764 63098352 94647528 189295056 263380441 526760882 790141323 1053521764 1580282646 2107043528 2370423969 3160565292 4214087056 4740847938 6321130584 7111271907 9481695876 12642261168 14222543814 18963391752 21333815721 28445087628 37926783504 42667631442 56890175256 64001447163 85335262884 113780350512 128002894326 170670525768 192004341489 256005788652 341341051536 384008682978 512011577304 768017365956 1024023154608 1536034731912 3072069463824