Search a number
-
+
2946682828272 = 2431717579205423
BaseRepresentation
bin101010111000010011111…
…110111011010111110000
3101102200220101121022200010
4222320103332323113300
5341234301301001042
610133404251254520
7422614355526531
oct52702376732760
911380811538603
102946682828272
11a36754700497
123b710614a440
13184b42777b91
14a2897bda688
15519b3a5859c
hex2ae13fbb5f0

2946682828272 has 80 divisors (see below), whose sum is σ = 8060541949440. Its totient is φ = 924392426496.

The previous prime is 2946682828237. The next prime is 2946682828301. The reversal of 2946682828272 is 2728282866492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14241753 + ... + 14447175.

It is an arithmetic number, because the mean of its divisors is an integer number (100756774368).

Almost surely, 22946682828272 is an apocalyptic number.

It is an amenable number.

2946682828272 is an abundant number, since it is smaller than the sum of its proper divisors (5113859121168).

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

2946682828272 is a wasteful number, since it uses less digits than its factorization.

2946682828272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223030 (or 223024 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 66.

The spelling of 2946682828272 in words is "two trillion, nine hundred forty-six billion, six hundred eighty-two million, eight hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 17579 35158 52737 70316 105474 140632 205423 210948 281264 298843 410846 421896 597686 616269 821692 843792 896529 1195372 1232538 1643384 1793058 2390744 2465076 3286768 3492191 3586116 4781488 4930152 6984382 7172232 9860304 10476573 13968764 14344464 20953146 27937528 41906292 55875056 83812584 167625168 3611130917 7222261834 10833392751 14444523668 21666785502 28889047336 43333571004 57778094672 61389225589 86667142008 122778451178 173334284016 184167676767 245556902356 368335353534 491113804712 736670707068 982227609424 1473341414136 2946682828272