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540225895524 = 2237229260912143
BaseRepresentation
bin1111101110001111111…
…10001111110001100100
31220122102021022221010220
413313013332033301210
532322340312124044
61052102031444340
754013205226600
oct7670776176144
91818367287126
10540225895524
11199121486157
12888486866b0
133bc34c53313
141c20b7d4500
15e0bc38c019
hex7dc7f8fc64

540225895524 has 144 divisors (see below), whose sum is σ = 1517596819200. Its totient is φ = 148958444544.

The previous prime is 540225895493. The next prime is 540225895529. The reversal of 540225895524 is 425598522045.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (540225895529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44482597 + ... + 44494739.

It is an arithmetic number, because the mean of its divisors is an integer number (10538866800).

Almost surely, 2540225895524 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 540225895524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758798409600).

540225895524 is an abundant number, since it is smaller than the sum of its proper divisors (977370923676).

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

540225895524 is a wasteful number, since it uses less digits than its factorization.

540225895524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14802 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 540225895524 in words is "five hundred forty billion, two hundred twenty-five million, eight hundred ninety-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2609 2842 4263 5218 5684 7827 8526 10436 12143 15654 17052 18263 24286 31308 36429 36526 48572 54789 72858 73052 75661 85001 109578 127841 145716 151322 170002 219156 226983 255003 255682 302644 340004 352147 383523 453966 510006 511364 529627 595007 704294 767046 907932 1020012 1056441 1059254 1190014 1408588 1534092 1588881 1785021 2112882 2118508 2380028 2465029 3177762 3570042 3707389 4225764 4930058 6355524 7140084 7395087 7414778 9860116 11122167 14790174 14829556 17255203 22244334 29580348 31681087 34510406 44488668 51765609 63362174 69020812 95043261 103531218 126724348 190086522 207062436 221767609 380173044 443535218 665302827 887070436 918751523 1330605654 1552373263 1837503046 2661211308 2756254569 3104746526 3675006092 4657119789 5512509138 6209493052 6431260661 9314239578 11025018276 12862521322 18628479156 19293781983 25725042644 38587563966 45018824627 77175127932 90037649254 135056473881 180075298508 270112947762 540225895524