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542765302272 = 2932108532
BaseRepresentation
bin1111110010111110101…
…01010100001000000000
31220212222020200011022200
413321133111110020000
532343040404133042
61053202024033200
754133141643034
oct7713725241000
91825866604280
10542765302272
1119a204955016
1289237002800
133c24b09c26b
141c3acb821c4
15e1ba29dc4c
hex7e5f554200

542765302272 has 90 divisors (see below), whose sum is σ = 1566601759437. Its totient is φ = 180905097216.

The previous prime is 542765302267. The next prime is 542765302363. The reversal of 542765302272 is 272203567245.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

542765302272 is a `hidden beast` number, since 5 + 4 + 2 + 76 + 5 + 302 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 541955102976 + 810199296 = 736176^2 + 28464^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=520944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50005198 + ... + 50016050.

Almost surely, 2542765302272 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 542765302272

542765302272 is an abundant number, since it is smaller than the sum of its proper divisors (1023836457165).

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

542765302272 is an frugal number, since it uses more digits than its factorization.

542765302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21730 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 542765302272 in words is "five hundred forty-two billion, seven hundred sixty-five million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 10853 21706 32559 43412 65118 86824 97677 130236 173648 195354 260472 347296 390708 520944 694592 781416 1041888 1389184 1562832 2083776 2778368 3125664 4167552 5556736 6251328 8335104 12502656 16670208 25005312 50010624 117787609 235575218 353362827 471150436 706725654 942300872 1060088481 1413451308 1884601744 2120176962 2826902616 3769203488 4240353924 5653805232 7538406976 8480707848 11307610464 15076813952 16961415696 22615220928 30153627904 33922831392 45230441856 60307255808 67845662784 90460883712 135691325568 180921767424 271382651136 542765302272