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541045571364 = 223243228512
BaseRepresentation
bin1111101111110001101…
…01000011111100100100
31220201112101200210000100
413313320311003330210
532331030131240424
61052315232144100
754042420322224
oct7677065037444
91821471623010
10541045571364
11199502135801
1288a37098030
133c035a04bcc
141c288602084
15e1192eddc9
hex7df8d43f24

541045571364 has 81 divisors (see below), whose sum is σ = 1400679582939. Its totient is φ = 176092585200.

The previous prime is 541045571317. The next prime is 541045571393. The reversal of 541045571364 is 463175540145.

It is a happy number.

The square root of 541045571364 is 735558.

It is a perfect power (a square), and thus also a powerful number.

541045571364 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 45 + 571 + 36 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189772539 + ... + 189775389.

Almost surely, 2541045571364 is an apocalyptic number.

541045571364 is the 735558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541045571364

541045571364 is an abundant number, since it is smaller than the sum of its proper divisors (859634011575).

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

541045571364 is an equidigital number, since it uses as much as digits as its factorization.

541045571364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 541045571364 in words is "five hundred forty-one billion, forty-five million, five hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 2851 3698 5547 5702 7396 8553 11094 11404 16641 17106 22188 25659 33282 34212 51318 66564 102636 122593 245186 367779 490372 735558 1103337 1471116 2206674 4413348 5271499 8128201 10542998 15814497 16256402 21085996 24384603 31628994 32512804 47443491 48769206 63257988 73153809 94886982 97538412 146307618 189773964 292615236 349512643 699025286 1048537929 1398050572 2097075858 3145613787 4194151716 6291227574 12582455148 15029043649 30058087298 45087130947 60116174596 90174261894 135261392841 180348523788 270522785682 541045571364