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296404153497664 = 26412524892
BaseRepresentation
bin100001101100100111111100…
…0010001110111100001000000
31102212110221221002100210120121
41003121033320101313201000
5302322241201243411124
62530222104402150024
7116301331144506412
oct10331177021674100
91385427832323517
10296404153497664
1186497328455553
12292b113b352314
13c950a3a5c1054
14532a0751689b2
152440243c432e4
hex10d93f8477840

296404153497664 has 63 divisors (see below), whose sum is σ = 602884155386631. Its totient is φ = 144584637327360.

The previous prime is 296404153497649. The next prime is 296404153497677. The reversal of 296404153497664 is 466794351404692.

The square root of 296404153497664 is 17216392.

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 191290807347264 + 105113346150400 = 13830792^2 + 10252480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 296404153497593 and 296404153497602.

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, 5646950332 + ... + 5647002820.

Almost surely, 2296404153497664 is an apocalyptic number.

296404153497664 is the 17216392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296404153497664

296404153497664 is an abundant number, since it is smaller than the sum of its proper divisors (306480001888967).

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

296404153497664 is an frugal number, since it uses more digits than its factorization.

296404153497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105072 (or 52532 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 70.

The spelling of 296404153497664 in words is "two hundred ninety-six trillion, four hundred four billion, one hundred fifty-three million, four hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 6724 13448 26896 52489 53792 104978 107584 209956 419912 839824 1679648 2152049 3359296 4304098 8608196 17216392 34432784 68865568 88234009 137731136 176468018 352936036 705872072 1411744144 2755095121 2823488288 5510190242 5646976576 11020380484 22040760968 44081521936 88163043872 112958899961 176326087744 225917799922 451835599844 903671199688 1807342399376 3614684798752 4631314898401 7229369597504 9262629796802 18525259593604 37050519187208 74101038374416 148202076748832 296404153497664