Search a number
-
+
461622924728 = 237319722911971
BaseRepresentation
bin1101011011110101101…
…11101101010110111000
31122010112021222021221022
412231322313231112320
530030400432042403
6552022221202012
745231306055460
oct6557267552670
91563467867838
10461622924728
11168856119869
1275570700308
13346b9399a04
14184b23d6ba0
15c01b877d38
hex6b7aded5b8

461622924728 has 128 divisors (see below), whose sum is σ = 1036219699200. Its totient is φ = 188639539200.

The previous prime is 461622924691. The next prime is 461622924743. The reversal of 461622924728 is 827429226164.

It is a self number, because there is not a number n which added to its sum of digits gives 461622924728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38555783 + ... + 38567753.

It is an arithmetic number, because the mean of its divisors is an integer number (8095466400).

Almost surely, 2461622924728 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 461622924728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518109849600).

461622924728 is an abundant number, since it is smaller than the sum of its proper divisors (574596774472).

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

461622924728 is a wasteful number, since it uses less digits than its factorization.

461622924728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12341 (or 12337 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 53.

The spelling of 461622924728 in words is "four hundred sixty-one billion, six hundred twenty-two million, nine hundred twenty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 97 124 194 217 229 248 388 434 458 679 776 868 916 1358 1603 1736 1832 2716 3007 3206 5432 6014 6412 7099 11971 12028 12824 14198 21049 22213 23942 24056 28396 42098 44426 47884 49693 56792 83797 84196 88852 95768 99386 155491 167594 168392 177704 198772 310982 335188 371101 397544 621964 670376 688603 742202 1161187 1243928 1377206 1484404 2322374 2597707 2741359 2754412 2968808 4644748 4820221 5195414 5482718 5508824 8128309 9289496 9640442 10390828 10965436 16256618 19189513 19280884 20781656 21930872 32513236 35996797 38379026 38561768 65026472 71993594 76758052 84982129 143987188 153516104 169964258 251977579 265911823 287974376 339928516 503955158 531823646 594874903 679857032 1007910316 1063647292 1189749806 1861382761 2015820632 2127294584 2379499612 3722765522 4758999224 7445531044 8243266513 14891062088 16486533026 32973066052 57702865591 65946132104 115405731182 230811462364 461622924728