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1972260714384 = 243237231632
BaseRepresentation
bin11100101100110011111…
…001100011011110010000
320222112202020111010201100
4130230303321203132100
5224303142220330014
64110013303504400
7262330313316162
oct34546371433620
96875666433640
101972260714384
116a0481835a54
1227a2a2158100
13113ca266aabc
146b65a7a8932
1536482ab5009
hex1cb33e63790

1972260714384 has 135 divisors (see below), whose sum is σ = 5674594773393. Its totient is φ = 639449894016.

The previous prime is 1972260714371. The next prime is 1972260714409. The reversal of 1972260714384 is 4834170622791.

The square root of 1972260714384 is 1404372.

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

1972260714384 is a `hidden beast` number, since 1 + 9 + 7 + 22 + 607 + 1 + 4 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1764805971600 + 207454742784 = 1328460^2 + 455472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1972260714384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 623539587 + ... + 623542749.

Almost surely, 21972260714384 is an apocalyptic number.

1972260714384 is the 1404372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972260714384

1972260714384 is an abundant number, since it is smaller than the sum of its proper divisors (3702334059009).

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

1972260714384 is an frugal number, since it uses more digits than its factorization.

1972260714384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1972260714384 in words is "one trillion, nine hundred seventy-two billion, two hundred sixty million, seven hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 3163 4107 5328 5476 6326 8214 9489 10952 12321 12652 16428 18978 21904 24642 25304 28467 32856 37956 49284 50608 56934 65712 75912 98568 113868 117031 151824 197136 227736 234062 351093 455472 468124 702186 936248 1053279 1404372 1872496 2106558 2808744 4213116 4330147 5617488 8426232 8660294 10004569 12990441 16852464 17320588 20009138 25980882 30013707 34641176 38971323 40018276 51961764 60027414 69282352 77942646 80036552 90041121 103923528 120054828 155885292 160073104 180082242 207847056 240109656 311770584 360164484 370169053 480219312 623541168 720328968 740338106 1110507159 1440657936 1480676212 2221014318 2961352424 3331521477 4442028636 5922704848 6663042954 8884057272 13326085908 13696254961 17768114544 26652171816 27392509922 41088764883 53304343632 54785019844 82177529766 109570039688 123266294649 164355059532 219140079376 246532589298 328710119064 493065178596 657420238128 986130357192 1972260714384