Search a number
-
+
274964469472 = 25711246321911
BaseRepresentation
bin1000000000001010010…
…10001101011011100000
3222021201202011022012201
410000011022031123200
514001111401010342
6330152242502544
725602606266410
oct4000512153340
9867652138181
10274964469472
11a6680302700
1245359064a54
131cc10135014
14d44618a640
15724481ddb7
hex400528d6e0

274964469472 has 144 divisors (see below), whose sum is σ = 681525605376. Its totient is φ = 106892755200.

The previous prime is 274964469431. The next prime is 274964469487.

It is a happy number.

274964469472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12538197 + ... + 12560107.

It is an arithmetic number, because the mean of its divisors is an integer number (4732816704).

Almost surely, 2274964469472 is an apocalyptic number.

274964469472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274964469472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340762802688).

274964469472 is an abundant number, since it is smaller than the sum of its proper divisors (406561135904).

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

274964469472 is a wasteful number, since it uses less digits than its factorization.

274964469472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22413 (or 22394 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

The spelling of 274964469472 in words is "two hundred seventy-four billion, nine hundred sixty-four million, four hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 463 484 616 847 926 968 1232 1694 1852 1936 2464 3241 3388 3704 3872 5093 6482 6776 7408 10186 12964 13552 14816 20372 21911 25928 27104 35651 40744 43822 51856 56023 71302 81488 87644 103712 112046 142604 153377 162976 175288 224092 241021 285208 306754 350576 392161 448184 482042 570416 613508 701152 784322 896368 964084 1140832 1227016 1568644 1687147 1792736 1928168 2454032 2651231 3137288 3374294 3856336 4908064 5302462 6274576 6748588 7712672 10144793 10604924 12549152 13497176 18558617 20289586 21209848 26994352 37117234 40579172 42419696 53988704 71013551 74234468 81158344 84839392 111592723 142027102 148468936 162316688 223185446 284054204 296937872 324633376 446370892 568108408 593875744 781149061 892741784 1136216816 1227519953 1562298122 1785483568 2272433632 2455039906 3124596244 3570967136 4910079812 6249192488 8592639671 9820159624 12498384976 17185279342 19640319248 24996769952 34370558684 39280638496 68741117368 137482234736 274964469472