Search a number
-
+
21782740434 = 23713311912791
BaseRepresentation
bin10100010010010110…
…100011110111010010
32002020002001212101020
4110102112203313102
5324102340143214
614001251420310
71400540144610
oct242226436722
962202055336
1021782740434
119268875324
12427abb4696
132091b33a30
1410a8d886b0
158775154a9
hex5125a3dd2

21782740434 has 64 divisors (see below), whose sum is σ = 53640437760. Its totient is φ = 5742607680.

The previous prime is 21782740423. The next prime is 21782740453. The reversal of 21782740434 is 43404728712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696579 + ... + 1709369.

It is an arithmetic number, because the mean of its divisors is an integer number (838131840).

Almost surely, 221782740434 is an apocalyptic number.

21782740434 is an abundant number, since it is smaller than the sum of its proper divisors (31857697326).

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

21782740434 is a wasteful number, since it uses less digits than its factorization.

21782740434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935.

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 21782740434 in words is "twenty-one billion, seven hundred eighty-two million, seven hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 3119 6238 9357 12791 18714 21833 25582 38373 40547 43666 65499 76746 81094 89537 121641 130998 166283 179074 243282 268611 283829 332566 498849 537222 567658 851487 997698 1163981 1702974 2327962 3491943 6983886 39895129 79790258 119685387 239370774 279265903 518636677 558531806 837797709 1037273354 1555910031 1675595418 3111820062 3630456739 7260913478 10891370217 21782740434