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79700065344 = 263613072
BaseRepresentation
bin100101000111001111…
…1100111110001000000
321121201102201211000000
41022032133213301000
52301211204042334
6100340321000000
75521020243354
oct1121637476100
9247642654000
1079700065344
11308896777a9
1213543483000
137691c5a9a3
143c00dc1464
152116ec4299
hex128e7e7c40

79700065344 has 147 divisors (see below), whose sum is σ = 237305316727. Its totient is φ = 26546361984.

The previous prime is 79700065321. The next prime is 79700065349. The reversal of 79700065344 is 44356000797.

The square root of 79700065344 is 282312.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 79700065344.

It is not an unprimeable number, because it can be changed into a prime (79700065349) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 60978739 + ... + 60980045.

Almost surely, 279700065344 is an apocalyptic number.

79700065344 is the 282312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79700065344

79700065344 is an abundant number, since it is smaller than the sum of its proper divisors (157605251383).

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

79700065344 is an frugal number, since it uses more digits than its factorization.

79700065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 79700065344 in words is "seventy-nine billion, seven hundred million, sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1307 1458 1728 1944 2592 2614 2916 3888 3921 5184 5228 5832 7776 7842 10456 11664 11763 15552 15684 20912 23328 23526 31368 35289 41824 46656 47052 62736 70578 83648 94104 105867 125472 141156 188208 211734 250944 282312 317601 376416 423468 564624 635202 752832 846936 952803 1129248 1270404 1693872 1708249 1905606 2258496 2540808 3387744 3416498 3811212 5081616 5124747 6775488 6832996 7622424 10163232 10249494 13665992 15244848 15374241 20326464 20498988 27331984 30489696 30748482 40997976 46122723 54663968 60979392 61496964 81995952 92245446 109327936 122993928 138368169 163991904 184490892 245987856 276736338 327983808 368981784 415104507 491975712 553472676 737963568 830209014 983951424 1106945352 1245313521 1475927136 1660418028 2213890704 2490627042 2951854272 3320836056 4427781408 4981254084 6641672112 8855562816 9962508168 13283344224 19925016336 26566688448 39850032672 79700065344