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72435053427 = 311192329379457
BaseRepresentation
bin100001101110101110…
…1110011001101110011
320220222010022222012120
41003131131303031303
52141321333202202
653135354325323
75143002536532
oct1033535631563
9226863288176
1072435053427
11287a0776820
1212056429843
136aa4a87479
14371219c319
151d3e2ad0bc
hex10dd773373

72435053427 has 128 divisors (see below), whose sum is σ = 120296448000. Its totient is φ = 38224327680.

The previous prime is 72435053423. The next prime is 72435053441.

72435053427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72435053427 - 22 = 72435053423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72435053423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158500983 + ... + 158501439.

It is an arithmetic number, because the mean of its divisors is an integer number (939816000).

Almost surely, 272435053427 is an apocalyptic number.

72435053427 is a deficient number, since it is larger than the sum of its proper divisors (47861394573).

72435053427 is a wasteful number, since it uses less digits than its factorization.

72435053427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 705600, while the sum is 42.

It can be divided in two parts, 724350 and 53427, that added together give a palindrome (777777).

The spelling of 72435053427 in words is "seventy-two billion, four hundred thirty-five million, fifty-three thousand, four hundred twenty-seven".

Divisors: 1 3 11 19 23 29 33 57 69 87 209 253 319 379 437 457 551 627 667 759 957 1137 1311 1371 1653 2001 4169 4807 5027 6061 7201 7337 8683 8717 10511 10991 12507 12673 13253 14421 15081 18183 21603 22011 26049 26151 31533 32973 38019 39759 79211 95513 95887 115621 120901 139403 145783 165623 173203 199709 208829 237633 251807 252793 286539 287661 304819 346863 362703 418209 437349 496869 519609 599127 626487 755421 758379 914457 1821853 1905233 2196799 2297119 2769877 2780723 3290857 3353009 3983669 4803067 5022887 5465559 5715699 5791561 6590397 6891357 8309631 8342169 9872571 10059027 11951007 14409201 15068661 17374683 36199427 43820359 52833737 55251757 63707171 75689711 95434853 108598281 115526401 131461077 158501211 165755271 191121513 227069133 286304559 346579203 832586821 1049783383 1270790411 2195001619 2497760463 3149350149 3812371233 6585004857 24145017809 72435053427