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799295005089 = 34722326172
BaseRepresentation
bin10111010000110011011…
…00011110000110100001
32211102010020120021210000
423220121230132012201
5101043424010130324
61411105133530213
7111514163305200
oct13503154360641
92742106507700
10799295005089
11288a85213679
1210aaaa343969
135a4b0bab919
142a98688b237
1515bd14849c9
hexba19b1e1a1

799295005089 has 135 divisors (see below), whose sum is σ = 1454320531587. Its totient is φ = 436173667776.

The previous prime is 799295005079. The next prime is 799295005129. The reversal of 799295005089 is 980500592997.

The square root of 799295005089 is 894033.

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

799295005089 is a `hidden beast` number, since 79 + 9 + 2 + 9 + 50 + 0 + 508 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23148101025 + 776146904064 = 152145^2 + 880992^2 .

It is not a de Polignac number, because 799295005089 - 217 = 799294874017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (799295005049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1295453509 + ... + 1295454125.

Almost surely, 2799295005089 is an apocalyptic number.

799295005089 is the 894033-rd square number.

799295005089 is the 447017-th centered octagonal number.

It is an amenable number.

799295005089 is a deficient number, since it is larger than the sum of its proper divisors (655025526498).

799295005089 is an frugal number, since it uses more digits than its factorization.

799295005089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 799295005089 in words is "seven hundred ninety-nine billion, two hundred ninety-five million, five thousand, eighty-nine".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 441 483 529 567 617 621 1127 1323 1449 1587 1851 1863 3381 3703 3969 4319 4347 4761 5553 10143 11109 12957 13041 14191 14283 16659 25921 30233 30429 33327 38871 42573 42849 49977 77763 90699 91287 99337 99981 116613 127719 233289 272097 298011 299943 326393 349839 380689 383157 695359 699867 816291 894033 979179 1142067 1149471 2086077 2099601 2284751 2448873 2664823 2682099 2937537 3426201 6258231 6854253 7994469 8046297 8755847 8812611 10278603 15993257 18653761 18774693 20562759 23983407 26267541 26437833 30835809 47979771 55961283 56324079 61290929 61688277 71950221 78802623 143939313 167883849 183872787 185064831 201384481 215850663 236407869 429036503 431817939 503651547 551618361 604153443 709223607 1287109509 1295453817 1409691367 1510954641 1654855083 1812460329 3861328527 4229074101 4964565249 5437380987 9867839569 11583985581 12687222303 16312142961 29603518707 34751956743 38061666909 88810556121 114185000727 266431668363 799295005089