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716914437264 = 243237219072
BaseRepresentation
bin10100110111010110110…
…11100010110010010000
32112112110222222211122100
422123223123202302100
543221220043443024
61305202420240400
7102536544112464
oct12335333426220
92475428884570
10716914437264
11257050567773
12b6b39240100
13527b2802cbc
14269ad8b04a4
15139adecc7c9
hexa6eb6e2c90

716914437264 has 135 divisors (see below), whose sum is σ = 2063138228697. Its totient is φ = 232390864512.

The previous prime is 716914437241. The next prime is 716914437269. The reversal of 716914437264 is 462734419617.

The square root of 716914437264 is 846708.

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

716914437264 is a `hidden beast` number, since 71 + 6 + 9 + 1 + 443 + 72 + 64 = 666.

716914437264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 641504883600 + 75409553664 = 800940^2 + 274608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 716914437264.

It is not an unprimeable number, because it can be changed into a prime (716914437269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375937399 + ... + 375939305.

Almost surely, 2716914437264 is an apocalyptic number.

716914437264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

716914437264 is the 846708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716914437264

716914437264 is an abundant number, since it is smaller than the sum of its proper divisors (1346223791433).

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

716914437264 is an equidigital number, since it uses as much as digits as its factorization.

716914437264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 1949 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 716914437264 in words is "seven hundred sixteen billion, nine hundred fourteen million, four hundred thirty-seven thousand, two hundred sixty-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 1907 2664 2738 3814 4107 5328 5476 5721 7628 8214 10952 11442 12321 15256 16428 17163 21904 22884 24642 30512 32856 34326 45768 49284 65712 68652 70559 91536 98568 137304 141118 197136 211677 274608 282236 423354 564472 635031 846708 1128944 1270062 1693416 2540124 2610683 3386832 3636649 5080248 5221366 7273298 7832049 10160496 10442732 10909947 14546596 15664098 20885464 21819894 23496147 29093192 31328196 32729841 41770928 43639788 46992294 58186384 62656392 65459682 87279576 93984588 125312784 130919364 134556013 174559152 187969176 261838728 269112026 375938352 403668039 523677456 538224052 807336078 1076448104 1211004117 1614672156 2152896208 2422008234 3229344312 4844016468 4978572481 6458688624 9688032936 9957144962 14935717443 19376065872 19914289924 29871434886 39828579848 44807152329 59742869772 79657159696 89614304658 119485739544 179228609316 238971479088 358457218632 716914437264