Search a number
-
+
69875340288 = 2103132134591
BaseRepresentation
bin100000100010011100…
…1010001010000000000
320200100201210001220020
41001010321101100000
52121101041342123
652033355013440
75022401410155
oct1010471212000
9220321701806
1069875340288
11276a7898416
121166113a280
13678767b800
14354c24622c
151c3e6d97e3
hex1044e51400

69875340288 has 132 divisors (see below), whose sum is σ = 201673191168. Its totient is φ = 21499944960.

The previous prime is 69875340281. The next prime is 69875340289. The reversal of 69875340288 is 88204357896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69875340281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451873 + ... + 586463.

Almost surely, 269875340288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69875340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100836595584).

69875340288 is an abundant number, since it is smaller than the sum of its proper divisors (131797850880).

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

69875340288 is a wasteful number, since it uses less digits than its factorization.

69875340288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134640 (or 134609 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 69875340288 in words is "sixty-nine billion, eight hundred seventy-five million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1024 1248 1352 1536 1664 2028 2496 2704 3072 3328 4056 4992 5408 6656 8112 9984 10816 13312 16224 19968 21632 32448 39936 43264 64896 86528 129792 134591 173056 259584 269182 403773 519168 538364 807546 1076728 1615092 1749683 2153456 3230184 3499366 4306912 5249049 6460368 6998732 8613824 10498098 12920736 13997464 17227648 20996196 22745879 25841472 27994928 34455296 41992392 45491758 51682944 55989856 68237637 68910592 83984784 90983516 103365888 111979712 136475274 137821184 167969568 181967032 206731776 223959424 272950548 335939136 363934064 413463552 447918848 545901096 671878272 727868128 895837696 1091802192 1343756544 1455736256 1791675392 2183604384 2687513088 2911472512 4367208768 5375026176 5822945024 8734417536 11645890048 17468835072 23291780096 34937670144 69875340288