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540751388164 = 22132282832
BaseRepresentation
bin1111101111001110100…
…10110101111000000100
31220200202220010201112021
413313213102311320010
532324424323410124
61052230122532524
754032215650241
oct7674722657004
91820686121467
10540751388164
11199371074599
1288974667144
133bcb9a92900
141c25b5045c8
15e0ed58d7e4
hex7de74b5e04

540751388164 has 27 divisors (see below), whose sum is σ = 1024744113813. Its totient is φ = 249568739472.

The previous prime is 540751388161. The next prime is 540751388173. The reversal of 540751388164 is 461883157045.

The square root of 540751388164 is 735358.

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

It can be written as a sum of positive squares in only one way, i.e., 79992808900 + 460758579264 = 282830^2 + 678792^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540751388161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19105167 + ... + 19133449.

Almost surely, 2540751388164 is an apocalyptic number.

540751388164 is the 735358-th square number.

It is an amenable number.

540751388164 is a deficient number, since it is larger than the sum of its proper divisors (483992725649).

540751388164 is an frugal number, since it uses more digits than its factorization.

540751388164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56596 (or 28298 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 540751388164 in words is "five hundred forty billion, seven hundred fifty-one million, three hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 169 338 676 28283 56566 113132 367679 735358 1470716 4779827 9559654 19119308 799928089 1599856178 3199712356 10399065157 20798130314 41596260628 135187847041 270375694082 540751388164