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7012920868864 = 21417212172
BaseRepresentation
bin110011000001101001010…
…1010000100000000000000
3220211102120111212010022221
41212003102222010000000
51404344430220300424
622525405200340424
71322444500560631
oct146032252040000
926742514763287
107012920868864
112264188005369
12953199014714
133bb4144b2571
141a35da283888
15c264ec1e9e4
hex660d2a84000

7012920868864 has 135 divisors (see below), whose sum is σ = 14911221314983. Its totient is φ = 3297486307328.

The previous prime is 7012920868799. The next prime is 7012920868907. The reversal of 7012920868864 is 4688680292107.

The square root of 7012920868864 is 2648192.

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

It can be written as a sum of positive squares in 4 ways, for example, as 114103435264 + 6898817433600 = 337792^2 + 2626560^2 .

It is a super-2 number, since 2×70129208688642 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5762465184 + ... + 5762466400.

Almost surely, 27012920868864 is an apocalyptic number.

7012920868864 is the 2648192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7012920868864

7012920868864 is an abundant number, since it is smaller than the sum of its proper divisors (7898300446119).

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

7012920868864 is an frugal number, since it uses more digits than its factorization.

7012920868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 7012920868864 in words is "seven trillion, twelve billion, nine hundred twenty million, eight hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 1217 2048 2176 2312 2434 4096 4352 4624 4868 8192 8704 9248 9736 16384 17408 18496 19472 20689 34816 36992 38944 41378 69632 73984 77888 82756 139264 147968 155776 165512 278528 295936 311552 331024 351713 591872 623104 662048 703426 1183744 1246208 1324096 1406852 1481089 2367488 2492416 2648192 2813704 2962178 4734976 4984832 5296384 5627408 5924356 9969664 10592768 11254816 11848712 19939328 21185536 22509632 23697424 25178513 42371072 45019264 47394848 50357026 84742144 90038528 94789696 100714052 169484288 180077056 189579392 201428104 338968576 360154112 379158784 402856208 428034721 720308224 758317568 805712416 856069442 1440616448 1516635136 1611424832 1712138884 2881232896 3033270272 3222849664 3424277768 5762465792 6066540544 6445699328 6848555536 12133081088 12891398656 13697111072 24266162176 25782797312 27394222144 51565594624 54788444288 103131189248 109576888576 206262378496 219153777152 412524756992 438307554304 876615108608 1753230217216 3506460434432 7012920868864