Search a number
-
+
69888324496 = 24292432532
BaseRepresentation
bin100000100010110101…
…0110011001110010000
320200101122012201212211
41001011222303032100
52121112402340441
652034541201504
75022616646044
oct1010552631620
9220348181784
1069888324496
1127704156671
1211665560294
13678a276783
14354dc66024
151c40901a81
hex1045ab3390

69888324496 has 135 divisors (see below), whose sum is σ = 146336212659. Its totient is φ = 32332774656.

The previous prime is 69888324479. The next prime is 69888324523. The reversal of 69888324496 is 69442388896.

The square root of 69888324496 is 264364.

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 4385088400 + 65503236096 = 66220^2 + 255936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1318647606 + ... + 1318647658.

Almost surely, 269888324496 is an apocalyptic number.

69888324496 is the 264364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69888324496

69888324496 is an abundant number, since it is smaller than the sum of its proper divisors (76447888163).

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

69888324496 is an equidigital number, since it uses as much as digits as its factorization.

69888324496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 67.

It can be divided in two parts, 69888 and 324496, that added together give a square (394384 = 6282).

The spelling of 69888324496 in words is "sixty-nine billion, eight hundred eighty-eight million, three hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 43 53 58 86 106 116 172 212 232 344 424 464 688 841 848 1247 1537 1682 1849 2279 2494 2809 3074 3364 3698 4558 4988 5618 6148 6728 7396 9116 9976 11236 12296 13456 14792 18232 19952 22472 24592 29584 36163 36464 44573 44944 53621 66091 72326 81461 89146 97997 107242 120787 132182 144652 162922 178292 195994 214484 241574 264364 289304 325844 356584 391988 428968 483148 528728 578608 651688 713168 783976 857936 966296 1057456 1303376 1555009 1567952 1916639 1932592 2362369 2841913 3110018 3502823 3833278 4724738 5193841 5683826 6220036 7005646 7666556 9449476 10387682 11367652 12440072 14011292 15333112 18898952 20775364 22735304 24880144 28022584 30666224 37797904 41550728 45470608 56045168 82415477 83101456 101581867 150621389 164830954 203163734 301242778 329661908 406327468 602485556 659323816 812654936 1204971112 1318647632 1625309872 2409942224 4368020281 8736040562 17472081124 34944162248 69888324496