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540263304192 = 2103587299603
BaseRepresentation
bin1111101110010100011…
…00111100110000000000
31220122111212201111012010
413313022030330300000
532322424401213232
61052105445332520
754014141213013
oct7671214746000
91818455644163
10540263304192
11199140606907
1288859107140
133bc3c920521
141c21277137a
15e0c07cb0cc
hex7dca33cc00

540263304192 has 88 divisors (see below), whose sum is σ = 1442456640576. Its totient is φ = 179780374528.

The previous prime is 540263304173. The next prime is 540263304199. The reversal of 540263304192 is 291403362045.

It is a self number, because there is not a number n which added to its sum of digits gives 540263304192.

It is not an unprimeable number, because it can be changed into a prime (540263304199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653463 + ... + 1953065.

Almost surely, 2540263304192 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 540263304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721228320288).

540263304192 is an abundant number, since it is smaller than the sum of its proper divisors (902193336384).

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

540263304192 is a wasteful number, since it uses less digits than its factorization.

540263304192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300213 (or 300195 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 540263304192 in words is "five hundred forty billion, two hundred sixty-three million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 587 768 1024 1174 1536 1761 2348 3072 3522 4696 7044 9392 14088 18784 28176 37568 56352 75136 112704 150272 225408 299603 300544 450816 599206 601088 898809 901632 1198412 1797618 1803264 2396824 3595236 4793648 7190472 9587296 14380944 19174592 28761888 38349184 57523776 76698368 115047552 153396736 175866961 230095104 306793472 351733922 460190208 527600883 703467844 920380416 1055201766 1406935688 2110403532 2813871376 4220807064 5627742752 8441614128 11255485504 16883228256 22510971008 33766456512 45021942016 67532913024 90043884032 135065826048 180087768064 270131652096 540263304192